A disc brake for a commercial vehicle includes a brake caliper that straddles a brake disc, a brake application device, arranged in the brake caliper, for pressing brake pads against the brake disc. Two parallel, spaced-apart adjusting spindles are mounted in a rotatable manner via a corresponding thread, in a bridge of the brake application device. A wear adjusting device is arranged in the brake caliper and compensates for a wear-related change in the clearance between the brake pad and the brake disc by axially moving the adjusting spindles. A synchronizing device includes a traction drive mechanism which allows the two adjusting spindles to be synchronously rotated. The fraction drive mechanism has a traction mechanism that meshes in a force transmitting manner with drive gears which are effectively connected to the adjusting spindles for conjoint rotation therewith. Each drive gear includes at least one form-fitting element which engages with an outer axial guide of the associated adjusting spindle.