Method for operating a brake system of a motor vehicle, control unit, and motor vehicle

Technologies and techniques for operating a brake system of a motor vehicle, including a friction braking device and a regenerative braking device, in which a need for cleaning of respective wheel brakes of the friction braking device of the motor vehicle is determined. A desired deceleration of the motor vehicle is determined based on a position of a brake pedal that is mechanically decoupled from the friction braking device. A braking force that is required for the desired deceleration of the motor vehicle is determined, and a first, predefined portion of this braking force being allocated to the regenerative braking device and the remainder of the required braking force being allocated among the wheel brakes of the friction braking device. The braking force to be provided may be distributed among the wheel brakes as a function of the determined need for cleaning of the respective wheel brakes.