The Cowboys have won more Superbowls (5 versus 1), but the Bears have won more NFL championships overall (9 versus 5). 8 of the Bears 9 championships were in the pre-Superbowl era - all of the Cowboys championships have been in the Superbowl era.
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The Packers have won more overall NFL championships (13), but the Cowboys have won more Super Bowls (five to four).
The Pittsburgh Steelers have won a record six Super Bowl titles. The Dallas Cowboys and the San Francisco 49ers have won five each.