which player has fouled out the most ever

Keith Foulke has the most career outs, with 23 outs.

NAME OUT G AB H 2B 3B HR RBI BB HBP SO PA TB XBH SH SF IBB AVG OBP SLG OPS
1 Keith Foulke
K. Foulke
23
12
16
2
0
0
0
0
0
0
5
18
2
0
2
0
0
.125
.125
.125
.250
StatMuse has event-level data for outs going back to the 1974 season.
Some of the information used here was obtained free of charge from Retrosheet.

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