System memory, size of OS swap file, quantity of CPU cores, and memory of your GPU(s) matter for Grin mining. The more GPUs your rig has, the more powerful your CPU will need to be, otherwise your gps will suffer. If you don’t have enough system RAM + large enough swap file, the miner program won’t start.
For mining c31 on Win 7 or Linux, your GPUs need at least 8GB of memory.
For mining c31 on Win 10, your GPUs need at least 11GB of memory.
Word is that your GPU will need 20GB of memory for mining c32. -source