Gigabyte or Asus. Either or will do you fine.
It's like asking what plane flies better, an Airbus A320 or a Boeing 757. They both fly pretty well, and get you from A to B (I didn't go down the car analogy as poeple get picky).
One probably makes slightly more noise than the other, one likely looks a lot better.
I would just go for the one you prefer the look of. If one has a better cooling system, then maybe go for that one. But you literally cannot go wrong either way to be fair.