Guiton hooked up twice with Devin Smith on scoring strikes for the Buckeyes (3-0).
Smith finished with three catches for 149 yards while Jordan Hall led Ohio State's ground game with 168 rushing yards and three touchdowns on 30 carries.
The Golden Bears (1-2) fell despite getting 371 passing yards and three scores from Jared Goff, who completed 31-of-53 passes.
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