One GFCI protects a circuit, so if two bathrooms happen to be on the same circuit, it's no problem. Kitchens are usually wired twice, with top and bottom plugs in an outlet of separate circuits. Learned that one the hard way, I did
That kind of behavior generally indicates that whatever triggered the GFCI to trip was still present -- condensation, a short, or whatever. Keep that in mind and consider trying to identify where there was something nasty. Nothing worse than finding out the hard way later that it really was something...
