The Packers (7-3) won their fourth straight and moved into a first-place tie with Chicago in the NFC North with the lopsided win, in which Rodgers tossed for 301 yards with four touchdowns, hitting Jennings seven times for 152 yards.
Jennings crossed the goal line in the second, third and fourth quarters and James Jones also logged a TD catch in the win.
The Vikings' Brett Favre completed just 17 of his 38 passes for 208 yards and an interception, which Green Bay ran back for a touchdown.
Receiver Sidney Rice returned to the lineup for the first time since last season and ended up three catches for 56 yards for Minnesota (3-7).
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