SAN FRANCISCO -- Dan Haren had Tim Hudson's number at the plate Thursday night, which should come as no surprise.

After all, the Miami Marlins right-hander has worn his longtime colleague's number on his jersey whenever possible in his career.

Matched up with Hudson in the opener of a four-game series, Haren took a shutout into the seventh inning and helped his own cause with his first two hits and RBIs of the season, delivering the Marlins a 7-2 victory over the San Francisco Giants.

Second baseman Dee Gordon became the first major-leaguer to reach 50 hits this season, and center fielder Marcell Ozuna belted his first home run of the year, helping the Marlins begin the West Coast portion of their 10-game trip with an 11th win in 15 games.

"That was fun," said Marlins manager Mike Redmond, whose team played at Washington on Wednesday. "We came out really relaxed after a long night of travel."

Despite giving up more hits than in any previous start this season, Haren (4-1) won his third consecutive game. He entered the night having set a franchise record by allowing four or fewer hits in each of his first five starts for the Marlins.

Coming off six shutout innings in a 3-1 win over the Washington Nationals, Haren blanked the Giants for six innings and took a 6-0 lead into the seventh before giving up a sacrifice fly to right fielder Justin Maxwell and an RBI double to third baseman Matt Duffy.

The two runs allowed were one fewer than the three for which his bat had accounted earlier in the game.

"I handle the bat well," said Haren, who has 12 multi-hit games in his career. "He (Hudson) knows I can swing it."

Haren was 0-for-10 this season before stepping to the plate with runners at the corners and two outs in the second inning of a scoreless game. One pitch later, it was 2-0 in the Marlins' favor after he smacked a hit to the fence in right-center field, scoring catcher J.T. Realmuto and shortstop Adeiny Hechavarria.

"He's gotten a big hit off me before," Haren said of one of the many previous matchups he's had with Hudson. "I was just trying to be aggressive on the first pitch."

Haren, who wears uniform No. 15, said he first chose the number with the Oakland A's after it was suggested that he pattern himself after Hudson, who had just gotten traded away from the A's.

"I've admired his career," he said of Hudson.

Gordon made it 3-0 one batter later in the second when he sliced a run-scoring double down the left field line, scoring Haren. The hit extended Gordon's hitting streak to 12 games.

Haren's second hit, a single, led off the Miami fifth and led to another run. He jogged home from third on right fielder Giancarlo Stanton's long sacrifice fly to center field, increasing the Marlins' lead to 4-0.

"It's frustrating giving up a hit to the pitcher," Haren said. "I did that tonight (to Hudson), too."

Haren was lifted for a pinch hitter after the seventh, having allowed two runs on eight hits. He struck out three and did not walk a batter.

Ozuna's homer, a two-run shot, added to the the Miami lead in the seventh. Third baseman Martin Prado, who had three hits, also scored on the home run.

Gordon also collected three hits, including a double, and Haren, Ozuna, Stanton, Hechavarria and first baseman Michael Morse added two hits apiece for the Marlins, who totaled 17 hits in the game, all but two off Hudson.

Gordon's three hits gave him 52 in Miami's first 29 games. He recorded a multi-hit game for the 13th time in his past 22 road outings dating back to last season.

The 15-hit outing was a career-worst for Hudson (1-3), who never previously had allowed more than 12 hits in a game. He began the night tied for the best ERA (2.87) among all active pitchers in his career against the Marlins.

"Pretty much the difference in the game was their starting pitcher offensively," Hudson said. "If I just get him out, we have a real good chance to win the ballgame."

Hudson pitched 6 2/3 innings, allowing six of the seven Miami runs. He walked three and, like Haren, issued no walks.

First baseman Brandon Belt had two of the Giants' nine hits, including a double in his fifth consecutive game.

The Giants lost a second straight game after opening their current 10-game homestand with five wins in a row.

"We got one run (Wednesday) and a couple today," Giants manager Bruce Bochy said. "That usually doesn't work."

NOTES: Miami's 17 hits were a season-high. ... Marlins 1B Michael Morse received his 2014 World Series championship ring from the Giants in a ceremony before the game. ... Thursday's game was Marlins LF Ichiro Suzuki's first ever at AT&T Park during the regular season. His only previous appearance in the stadium came in the 2007 All-Star Game, where he hit the first inside-the-park home run in the game's history en route to the night's Most Valuable Player award. ... RHP Tim Hudson's third-inning single snapped an 0-for-49 stretch that had been the longest among major-leaguers. ... The Giants' West Coast record for hits allowed in a game is 16, shared by Hall of Famers Juan Marichal and Gaylord Perry. ... The Giants announced after the game that RF Hunter Pence (broken left arm) will begin an injury-rehab assignment Friday at Triple-A Sacramento.