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ANSWER:
The Bears beat the Redskins 73-0 in the 1940 NFL Championship Game. The most points in a regular-season game was 72, by the Redskins in 1966 against the Giants (who scored 41).
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NFC-FR: Philadelphia (58) vs. Detroit (37), 1995 http://www.nfl.com/superbowl/records/playoffs/team/scoring
That would be the 1940 NFL Championship game when the Chicago Bears defeated the Washington Redskins 73-0.
Click on the 'NFL Scoring Leaders by Season' and 'NFL Touchdown Leaders by Season' links below to see the players that led the NFL in scoring and touchdowns in each NFL season.
Washington Redskins