A brake booster for a brake master cylinder of a motor vehicle includes a drive motor that is connected/connectable by a gear unit to a pressure piston for the brake master cylinder, the gear unit converting a rotational motion of the drive motor into a translational motion of the pressure piston to actuate the brake master cylinder, and the gear unit including a rotatable spindle nut and a non-rotatable spindle rod having intermeshing trapezoidal threads that have have a flank clearance and a tip clearance that are greater than a bottom clearance.