For a Dragon Ball fan, it's pretty much commonplace to see "Gogeta vs. Vegito" arguments on any Dragon Ball forum. I've seen a decent share of some of the arguments (which are usually the same few points) but, in my eyes, there has been no good evidence to indicate that either is more powerful than the other - at least not in the the actual story material (I'm not too well-versed in things like guidebooks and such, unfortunately).
If you believe differently, tell me why. I want to hear it. Let's have a discussion.