Furcal, batting for reliever and winner Ramon Troncoso (2-0), knocked in Martin from second base with one out.
Brad Ausmus had two of the six hits for the Dodgers, who rose to 10-2 against the Rockies this season.
Los Angeles starter Clayton Kershaw surrendered one hit and five walks in five scoreless innings with five strikeouts.
Closer Jonathan Broxton, the last of four pitchers, earned his 19th save for a 1-2-3 ninth.
The Dodgers were playing their final contest without suspended outfielder Manny Ramirez. He is due back Friday at San Diego when his 50-game banishment for violating baseball's drug policy ends.
Losing pitcher Jason Hammel (5-4) yielded an earned run and five hits in eight innings with no walks and five strikeouts.
Brad Hawpe had two hits for the Rockies, who went 21-7 in June.