Greinke (13-6) allowed two runs on two hits while tossing six innings to earn the win.
Walks were the only downside to his game, as he issued four, one of which was intentional. Greinke has now walked four batters in each of his last three starts, the first time he's done that in his career.
"Just not making good pitches and throwing more balls," Greinke said. "Really just not making good pitches. The last two games I intentionally walked guys, but still a lot more walks than normal."
The walks caused his pitch count to rise early and he wound up throwing 107, forcing an earlier-than-usual exit as Randall Delgado took over to open the seventh.