Oxford Vs. Cambridge: Which Is More Prestigious Globally?

I know people usually just say “Oxbridge,” but I am curious if there is actually a meaningful fame and prestige difference between Oxford and Cambridge on a global level. I am currently a sophomore in college and plan to do IB after graduation, then get a master’s at one of them. I have even considered doing two separate master’s degrees, one at Oxford and one at Cambridge, but realistically I will probably only do one. If I am only going to attend one of them, I would rather choose the one that is seen as more famous and prestigious overall. Curious what the general perception is.