Benjamin Franklin was a "Federalist" in the original sense of the term. He was a delegate at the Constitutional Convention representing Pennsylvania, and lobbied his state to ratify the Constitution. At the end of the Convention, on September 17, 1787, Franklin gave a speech in which he confessed "there are several parts of this constitution which I do not at present approve" but understood that the document was made by negotiation and consensus of politicians with differing interests. "Thus I consent, Sir, to this Constitution because I expect no better, and because I am not sure, that it is not the best." He expressed his wish that every delegate at the Convention sign it and hoped that they each "act heartily and unanimously in recommending this Constitution" to their respective states.
At the time of the Convention, Thomas Jefferson was in Paris, in his capacity as the U.S. Minister to France. He would not leave France until September 26, 1789, arriving back to the U.S. in mid-December.
By that time, Benjamin Franklin was more or less retired from public life. He did partake in one last public act. As President of the Pennsylvania Abolition Society, in February 1790, he submitted the Society's petition to Congress to abolish slavery.
Thomas Jefferson became Secretary of State under George Washington on March 22, 1790. Alexander Hamilton was already serving as Secretary of the Treasury, taking office in September 1789. It was only at that point that Jeffersonian and Hamiltonian partisanship really began, and even then, it took some time for it to become apparent. According to Ron Chernow's biography of Hamilton, the first cracks became evident between May 10 and June 24, 1790, when George Washington was ill with the flu and then pneumonia, and Hamilton acted as de facto head of the government during the period. Jefferson was not happy with this turn of events, and Hamilton wrote in an undated note: "Mr. Jefferson fears in Mr. Hamilton a formidable rival in the competition for the presidential chair at a future period."
But even then, their relationship was still friendly enough that they were able to negotiate the Compromise of 1790 in June of that year. Jefferson (and Madison) conceded that the federal government would assume the Revolutionary War debts of the states, while Hamilton conceded that the national capital, Washington, D.C., would be built in the South.
It really wasn't until the battle for the national bank occurred that well-drawn political factions began to emerge. The "bank bill" was introduced into Congress on December 14, 1790, and the bank was chartered the following February.
By the time any of this happened, Benjamin Franklin had already died. He died on April 17, 1790, less than a month after Jefferson had joined the Washington administration. So he had no recorded thoughts on the partisanship, since he was not alive at the time it materialized. At the time of his death, in fact, Rhode Island was still a month away from ratifying the Constitution, and North Carolina had ratified only six months earlier. The political factions were still drawn along the lines of the original Federalists and Anti-Federalists, i.e., those who believed there should be a united federal government under the drafted U.S. Constitution at all. The Jeffersonian vs. Hamiltonian split would only become evident from mid-1790 at the earliest, but arguably not until the end of that year. Identifiable political parties really didn't become evident until later in Washington's first term as president.
As useful as it is, Benjamin Franklin did give some support to the establishment of the precursor to the First United States Bank, the privately-owned Bank of North America. In a letter to Thomas Ruston in October 1780, he read "with Pleasure" Ruston's "thoughts on American Finance, and your Scheme of a Bank". In November 1781, he wrote to Robert Morris that he understood "the advantages" of "the operation" of the Bank of North America.
So there is a little evidence Franklin may have leaned toward the Hamiltonian side of U.S. politics. But there's no real way of knowing what side he would have taken as the partisan politics matured in the 1790s and beyond, on other partisan issues such as the Jay Treaty, or, later, the Alien and Sedition Acts. Considering his years spent in France, and his background as a newspaper publisher who strongly believed in freedom of the press, and had once been accused of treason by the British government over the Hutchinson Affair when he played a role in getting some private letters published in the press embarrassing to the government, he very well may have taken a Jeffersonian point of view on such matters.
I go fire up the smoker and take a nap, come back, and this excellent answer from /u/lord_mayor_of_reddit is already here... Well done! To further your points, I searched my favorite extensive biography of Franklin and found a lot of Hamilton references, but that's James Hamilton of Pennsylvania. In these 800 pages of Franklin's life, Alexander Hamilton appears not once as their overlap was very small. Jefferson, on the other hand, spent time in America and in France with Franklin and highly admired him. Upon returning to America Jefferson visited Philly to see the good Dr Franklin in 1789 which was one of the last guests entertained by Franklin. A fellow inventor, scientist, and tinkerer, Jefferson held Franklin in high regard. He later said of following Franklin in France;
On being presented to any one as the Minister of America, the common-place question, used in such cases, was ‘c’est vous, Monsieur, qui remplace le Docteur Franklin?’ ‘It is you, Sir, who replace Doctor Franklin?’ I generally answered ‘no one can replace him, Sir; I am only his successor.
Personally, they were definitely friends.
Something I'll also add to is about Franklin and his actions: He liked money. No, not like that - well not just like that (even though he did give away several inventions, like his stove, for free). What I mean is he was an early advocate of creating money and banks. In 1729 at only 23 years old he penned [A Modest Enquiry into the Nature and Necessity of a Paper Currency] (https://founders.archives.gov/documents/Franklin/01-01-02-0041). He had arrived in Philly 6 years earlier and remarks in his autobiography on the economic condition of the town he saw as he "was eating my roll",^1 there were numerous empty buildings and the need for economic infusion was apparent. His arguement was four points and stemmed from the currency issue in the colonies which was a lack of gold and silver. Pennsylvania wasn't mining either and raw goods produced were sold typically to Spainish or Portuguese traders for gold and silver that was in turn sent to England for finished goods. This left no fine metals to remain and fuel the internal trade of the colony, which South Carolina had combated in an almost worse way of, as the kids say, making the "printer go brrrrr" with fiat money. Penn and Franklin had learned from it and instead used the best and most stable resource available to back the currency - land. Notes were printed and when repayed would be destroyed, limiting over issue complications like seen in S Carolina (and their "brrrrring" printer). Franklin would remain a champion of land backed banks and loans for some time. He would print notes for Pennsylvania, New Jersey, and Delaware in his printing life, designing and implementing several of the first counterfeiting securities on paper money. He was also the first to publicly suggest a national currency of paper money, which he soon walked back authorship of when the Stamp Tax protests became violent.
His plan was a way to enrich the crown with interest instead of taxes. They would own the bank and issue the loans, giving vital credit to the colonists who would in turn pay a typical rate which was sent to England as colonial tax and repaying the debt incurred in the French and Indain War that spurred the Stamp Tax in the first place. It had already worked in single colonies as a revenue source to fund things like schools making him confident it would work. Soon after this, as noted by Lord Mayor above, he indicated support of a National Bank in America.
So while the one thing Franklin wasn't was an economist, he likely would have sided with Hamilton in the National Bank debate.
Franklin the semi-Federalist: Franklin had authored the [Albany Plan] (https://founders.archives.gov/documents/Franklin/01-05-02-0104) and presented it in that convention in 1754;
Plan of a Proposed Union of the Several Colonies of Masachusets-bay, New Hampshire, Coneticut, Rhode Island, New York, New Jerseys, Pensilvania, Maryland, Virginia, North Carolina, and South Carolina, For their Mutual Defence and Security, and for Extending the British Settlements in North America.
That humble Application be made for an Act of the Parliament of Great Britain, by Virtue of which, one General Government may be formed in America, including all the said Colonies, within and under which Government, each Colony may retain its present Constitution, except in the Particulars wherein a Change may be directed by the said Act, as hereafter follows.
President General - That the said General Government be administred by a President General, To be appointed and Supported by the Crown, and a Grand Council to be Chosen by the Representatives of the People of the Several Colonies, met in their respective Assemblies.
Grand Council - Election of Members - That within Months after the passing of such Act, The House of Representatives in the Several Assemblies, that Happen to be Sitting within that time or that shall be Specially for that purpose Convened, may and Shall Choose Members for the Grand Council in the following Proportions, that is to say.
·Masachusets-Bay 7.
·New Hampshire 2.
·Conecticut 5.
·Rhode-Island 2.
·New-York 4.
·New-Jerseys 3.
·Pensilvania 6.
·Maryland 4.
·Virginia 7.
·North-Carolina 4.
·South-Carolina 4.
It was the first plan for America and would be revived by Joseph Galloway for his Plan of Union presented to the first Continental Convention (neither plan passed their respective convention). Interestingly neither Georgia nor Delaware was included. This is also the source of the now famous ["join or die"] (https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRH_2ztDoc0Fjz6rLTScQPv3Asusp6f7Qqku--V3uYtXg&s) segmented snake design, which Franklin published in his Pennsylvania Gazette that same year. It basically was a proposal for the limited freedom Canada later recieved and called for a Grand Council with a President to meet for colonial business - a federal authority in the colonies still subject to England's ultimate authority. It would also have aligned into the existing Iroquois Confederation. While Galloway would stay loyalist and even serve the British in the war, Franklin of course supported independence. His next plan was a cabal executive constitution for [The United Colonies of North America] (https://founders.archives.gov/documents/Franklin/01-22-02-0069), presented in 1775 (and likewise failed to pass). So Franklin at least in part pioneered the idea of a central government and executive for the United Colonies almost a full year before he, Jefferson, and the other three members of the committee to draft The Declaration of Independence would complete their work.
While that doesnt really say much about the federalist/anti-federalist debate directly (the crux being should the Articles of Confederation remain as anti-federalists wanted or should the Constitution replace it as Federalists wanted, but the effect being a strong or a loose central government) it does show Franklin did support a fairly strong federal government, regulating peace and war, alliances, appointment of all posts, debates between colonies, and governing common trade as well as providing for the General Welfare from common currency raised by taxes to be worked out by individual colonies however they choose.
Furthering this a bit more, as pointed out above, Franklin became president of Pennsylvania Society for Promoting the Abolition of Slavery and for the Relief of Free Negroes Unlawfully Held in Bondage, but a small correction is that he became president of this group before the Constitutional Convention of 1787. It is believed by some historians (myself included) that his veiled frustrations with the Constitution were namely its failure to address the issue of slavery directly, meaning he wasn't objecting to the notion of a more "federal" government. Either way, he asked everyone to sign it in a beautiful and elegant speech. Fwiw I wrote on the Pennsylvania Society and some of their efforts towards abolition in a previous [answer] (https://www.reddit.com/r/AskHistorians/comments/h0ev0t/were_there_notable_antislavery_groups_in_the_us/) not too long ago (which ironically discusses Hamilton as well).
E to add: he also gained his first experience as a publisher after his brother James was arrested in 1722 for what he published in the New England Currant, which started a lifetime of supporting rights like a free press that Jefferson spoke so highly of.
1). Ok, fun side story time: Franklin almost immediately went to a bakery after his nearly disastrous journey to Philly on a boat. Unaware of the bakery differences, he ordered a few things they didn't make before finally just handing over money and asking what it would purchase. The baker gave him 3 rolls, but these were more like a loaf by modern standards than a roll and, having no bags or even pockets large enough, he tucked one under each arm and munched the third, walking out of the shop as he did. When he looked up once on the street, 17 year old new to Philly Franklin, wearing the clothes he left New York in and that were soaked on the voyage (along with himself), saw the glances and stares his appearance and having two chicken-winged rolls while eating a third were recieving from others. Spotting a destitute mother and child, he gave the two spare rolls to them and contined to wander looking for a residence to rent while munching his roll.
For more on the Life and Times of Ben Franklin, I always recommend The First American: The Life and Times of Benjamin Franklin by HW Brands. Franklin's autobiography, which Jefferson urged him to finish while visiting in 1789, is fantastic as well.