KANSAS CITY— Right-hander Jeremy Guthrie tossed six shutout innings and Eric Hosmer scored twice and drove in a run as the Royals took a 7-1 win over the Reds on Wednesday night in front of 30,450 at Kauffman Stadium.

Guthrie gave up five hits, walked two and struck out three. He helped extend the Royals’ scoreless-innings streak to 24, which tied a franchise record set in 1976. The streak ended in the seventh, when Ryan Madson gave up an RBI double to Brandon Phillips.

Royals manager Ned Yost said he believes his rotation is finding its groove.

“Yeah. I mean, 24 scoreless innings,” Yost said. “I’d say it’s rounding out nicely.”

Right-hander Jason Marquis started for the Reds but was chased with two outs in the fourth. He gave up four runs and four hits. He now has given up 15 runs in his last three starts, covering 12 1/3 innings.

The Royals took both Interleague games against the Reds and are 26-14, the best 40-game start in franchise history.

“It’s a real strong feeling that every time they walk through that door, they’re gonna win this baseball game today,” Yost said. “It was the same feeling we had in Atlanta for all those years. It’s an attitude and a feeling that every time you walk through those clubhouse doors, you’re going to win this baseball game today, and that’s a great feeling.”

Added Phillips, “I give credit where credit is due, and I see why the Royals made it to the World Series last year. The way they played us, that’s the best team we’ve played all year. The Cardinals are up there, but the Royals. ... I tip my cap to those guys.”