Great Britain's soldiers were well known for their red coats (although I'm not sure if they were called "Redcoats" back then). Were all the nations of Europe color coordinated? Was Great Britain the only nation that stuck to their colored coats? What, if any, were the other colors of the other nations? Finally, what were the reasons for the specific color that was chosen?
Hi, this is not at all to discourage further comments on the topic (which is a fascinating one), but here are some previous answers that you may find interesting:
https://www.reddit.com/r/AskHistorians/comments/2rrbqn/how_accurate_are_the_british_footsoldiers/
In many countries different branches of service wore different colours. In the British army the infantry wore red, except for Rifles, artillery wore blue, and cavalry wore red or blue depending on regiment. All branches of service in Denmark traditionally wore red, apart from light infantry, as did the Swiss. Other countries wore differing colours, French infantry went from white to blue to white and back to blue again, not abandoning blue (changing tone during the war) until after the first world war. Russian infantry stayed with green until before WW1. Spanish infantry changed from white to blue to white and back to blue. As far as reasons were concerned, these varied. The Austrian infantry wore white, originally unbleached wool for cheapness. Austrian artillery also wore unbleached wool, but tended to use the darker unbleached wool as more appropriate for those handling gunpowder. Ultimately the Austrian artillery wore brown, a formalisation of the dark wool.