Which model Graphics Card?

No difference apart from the cooler or a slight overclock. The ASUS card is much noisier because of the reference cooler.

brand doesn't really matter. just pick the one you personally feel more comfortable with - preferrably the one with the better/longer warranty.

if your card dies after the warranty, you're out of luck anyway and it can happen with every brand.

personally I always went with ZOTAC when it comes to nvidia GPUs.

maybe you should also consider the size/height of the card and take into consideration the available slots or generally the inner layout of your pc, so you don't run into problems when you install the card.

Sometimes in cooling, but usually there is like a 1-3% difference in real world performance among manufacturers with the same GPU and same amount of same type of VRAM.

By the way: although ASUS makes great mobos and lots of good stuff for PCs, I never found their GPUs any good compared to the other available manufacturers.

I think Asus has cards that have smart fan control to allow the card to run silent when not under load. I don't think this is one of them. Still, fan noise is often the big differentiator. I'm not familiar with how the fans here compare since I'm exclusively a WC guy, but I'd hit up Tom's Hardware, Guru3d, or Anandtech and see if they have some sort of recent cimparison of how Gigabyte's air coolers stack against Asus.

The Gigabyte has slightly higher clocks, which does affect performance. The difference is extremely minor here however.

-Edit- As Sabuk said the Gigabyte card is using a custom cooler. So just go for the Gigabyte card.

I used to be a fan of ASUS but had too many issues with them in the past. My last computer I built was mostly ASUS everything. ASUS monitor, ASUS Video card, ASUS Motherboard, ASUS DVD-Burner, etc. Of all those things, the only thing that has not failed on me is the monitor. None of it was over-clocked. All of it built properly.
Motherboard - BIOS battery issues. Even with a fresh BIOS battery, it still resets everything if the computer loses power. Started about a month after Warranty ended.
Motherboard - Reversed Audio channels (Warranty would not exchange). Left is Right, Right is Left, no way to fix it without software or a reversal extension.
Burner - Eject system went after 90 days. Warranty was useless. Would have cost more to mail it to them than just to replace it.
Video Card - Despite proper cleaning, fans went out on it. Sent back to ASUS. They returned it, fans went out again 3 days later. They refused to RMA it again.

Ok, cool, thanks for the info guys. I might order the Gigabyte one.

If you want the reference model, it doesn't really matter which brand you choose. The difference comes when you want to pick one of those overclocked models and stuff.

Also consider your PC case the asus one ejects the hot hai outside the case gigabyte one inside so you need a proper case.

Gigabyte.