One Gaius or Two?

Here's my question of the day, is the Gaius mentioned in Romans 16:23 the same Gaius that John addresses in his third epistle? Anybody willing to vote on that?

There are actually 5 possible Gaiuses in Scripture. My guess is at least some of those references are to the same person.

Yes, this is relevant to my work today. I'm cranking out tomorrow's Thursday Leadership Lesson for zonegathering on hospitality.