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KANSAS CITY, Missouri (Reuters) - Cleveland's Joshua Cribbs and Jerome Harrison delivered record-breaking performances in the Browns' 41-34 victory over the Kansas City Chiefs on Sunday.

Cribbs shattered the NFL career record for kickoff returns for touchdowns when he raced back two.

The returns, one for 100 yards and the other for 103 yards, gave Cribbs eight in his five-year career. That broke the record of six Cribbs shared with five others.

Harrison surpassed Hall of Famer Jim Brown's single-game team rushing record when he totaled 286 yards on 34 carries while scoring three touchdowns. Brown twice rushed for 237 yards.

Harrison's total is the NFL's third-highest all-time. Only Minnesota's Adrian Peterson (296) and Baltimore's Jamal Lewis (295) have rushed for more yards in a game. Peterson set the record in 2007 to eclipse Lewis's best in 2003.

Cleveland won the game when Harrison scored on a 28-yard run with 44 seconds to play. Both the Browns and the Chiefs have 3-11 records.

(Reporting by Gene Cherry in Salvo, North Carolina; Editing by Dave Thompson)