But Greinke hasn't been nearly as good the past two seasons when he pitches elsewhere, a fact that gives the Royals reason for optimism when they face the 28-year-old former Cy Young Award winner on Tuesday at Kauffman Stadium in the opener of a three-game Interleague series.
Greinke owns a 15-0 record with a 2.47 ERA at Miller Park in two seasons with the Crew and they are 20-1 in games he's started in their home park.
The right-hander is coming off one of his strongest performances of the season, a game in which Greinke allowed two hits and struck out 12 in seven innings in an 8-0 victory over the Cubs on Wednesday.
The victory lifted Greinke's record to 7-2 with a 3.13 ERA.
"It'd be nice to get [Greinke] back in Kansas City and beat up on him a little bit," Royals outfielder Mitch Maier said. "We know he's capable, but hopefully he makes some mistakes and we take advantage of it."
Royals outfielder Alex Gordon sounded much the same theme.
"His road record is a little worse than his home record, so hopefully we'll have a little better chance," Gordon said.
Royals manager Ned Yost was succinct and to the point when asked about facing Greinke.
"I'm just glad we're not facing him [at Miller Park]," Yost said.
Greinke is a noted fanatic about his routine, but Brewers manager Ron Roenicke professes not to be concerned about his ace being too excited about Tuesday's game against his former team -- Greinke's first start at Kauffman Stadium since being traded following the 2010 season.
"I think as much as he puts in to preparation for that start and the team that he's facing, he's so 'business' when he goes about this, that I don't think it's going to affect him that much," Roenicke said.
"Sure, he's going to be amped, maybe a little bit more, but I think he liked it [in Kansas City], he was comfortable there and he knows what he needs to do in every start. I expect him to be pretty much the same guy."
Brewers: Braun rolling along
Ryan Braun upped his RBI total to 40 with three in Sunday's 6-5 victory over the Padres. He hit his 15th home run of the season and upped his batting average to .311.
Royals: Mendoza back in the rotation
Greinke's mound opponent on Tuesday will be right-hander Luis Mendoza (2-3, 5.36 ERA), starting in place of Felipe Paulino, who is on the disabled list after suffering a groin injury in his last start on Wednesday against the Twins.
Mendoza relieved Paulino in the first inning and acquitted himself well despite absorbing the loss in the Twins' 4-2 victory, working five innings and allowing five hits and two earned runs.
After the Royals play three games against the Brewers at Kauffman Stadium, they will play three more Interleague games at home against the in-state rival Cardinals from June 22-24, which will conclude KC's Interleague schedule.