None if you would be gaming.
Both video cards are essentially same but 8350 has 8 cores instead of 6.
Games do not utilize more than 4 cores at the moment so it does not matter if you have 12, 8, or 6, rest would go waste always.
However future games would utilize 8 cores since PS 4 and Xbox One both are octa core and so would be their ports.
Keeping that in mind, FX 8350 is advised.