I would worry more about why the breaker is tripping. Too many things running at once on the same circuit? Faulty tool?
Could be a weak breaker. Have you noticed a pattern as to when it trips? That would be helpful in diagnosing it.
As stated, GFI is looking for current going to ground and a breaker looks for high amp draw,,,,,,,,,,,,,,,in a perfect world.
That said, I have a GFI outlet in my shop that will trip with heavy use, never had the breaker at the box trip. Not sure what is trippping my GFI, but resetting it solves the problem. Note, the only time it trips and its not consistent, is when I forget to turn off my compressor. And IIRC, it has done it on at least 2 different compressors.