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Joe Nathan (Giants 1999-2000, 02-03, Twins 04-09, 11, Rangers 12-13, Tigers 14-15, Cubs 16, Giants 16)

A six-time All-Star, Nathan recorded 377 saves which are good for the eighth-most all-time. From 2004-09, there were few relievers better as he pitched to a 1.87 ERA, 0.93 WHIP, and struck out 11.1 batters per nine innings.