your motherboard is a Gigabyte GA-7ZM.
Also, in your search for compatible memory, you will most likely have to RMA sticks due to incompatibility. SDRAM is kinda tricky, it might look legit/compatible on paper, but when you get it home, it might not boot, or comes back errors on memtest86.
I suggest just going somewhere that has memory specifically for your motherboard, it will be more expensive, but less trouble in the long run.
Just take a quick look at this page, it has a picture and detailed specs of it.