So I've recently purchased an electric guitar, and I've been playing contentedly with it. However, I decided the factory strings were due for a change, so I had the guitar set up with strings of a certain gauge.

Now, however, I've come to regret my choice of string. They just don't sound as good as the original strings from the factory. Therefore, my question is: can I just change the strings to the same gauge, or should I get the whole guitar re-set up, given that the brand might be slightly different or whatnot?