For the franchise history, that is 31 games by Vladimir Guerrero in the 1999 season. For the Washington Nationals part of the franchise history, that is 30 games by Ryan Zimmerman in the 2009 season.
Pudge Rodriquez
The Rockies won a franchise-record 11 straight games Sept. 16-27, 2007.
The Blue Jays franchise longest winning streak is 11 games from August 27, 1998 through September 7, 1998.
18 games in 1982
12 games
The longest winning streak in NBA history is 33 games, achieved by the 1971-72 Los Angeles Lakers.
Zack Wheat and Bill Russell. Wheat played 18 seasons with the franchise (1909-1926) when the team was located in Brooklyn and known, alternately, as the Superbas, Dodgers, and Robins. Wheat played 2322 games with the franchise and is the all time franchise leader in games played. Russell played 18 seasons with the Los Angeles Dodgers between 1969-1986. He played in 2181 games and is second, all time, in games played for the franchise.
11 games in 63-64
The MLB team with the longest undefeated record in history is the 1916 New York Giants, who went 26 games without a loss.
In franchise history, that is closer Dan Plesac with 365 games pitched. He played with the team between 1986-1992. Plesac's 133 saves with the Brewers is also a franchise record.
In Atlanta Braves history, Dan Uggla has had hits in 33 consecutive games, surpassing Rico Carty's previous record of 31. In the history of the Braves' franchise, Uggla is second to Tommy Holmes, who had a 37-game hitting streak in 1945, when the team was in Boston.