What if you have both the Great Weapon Fighting style and the Savage Attacker feat?

@mikemearls @JeremyECrawford What happens if you have both the Great Weapon Fighting style and the Savage Attacker feat?

— Lance LaRock (@launcelot69) April 17, 2016

If you use Savage Attacker with Great Weapon Fighting, the latter lets you reroll 1s and 2s in both rolls. #DnD https://t.co/2X8R3LdaPO

— Jeremy Crawford (@JeremyECrawford) April 22, 2016