A brake system of a vehicle, with electromechanical service brakes on at least one axle designed without force sensors, having a control unit designed to control a braking operation for meeting a braking demand by activating the electromechanical service brakes of all the axles. An acquisition element on each of the electromechanical service brakes acquires a parameter from which a current brake touch point of the electromechanical service brake in question can be determined. For operating the brake system, the brakes on one of the axles of the vehicle are actuated during a braking operation. A current value of a brake touch point of the electromechanical service brakes on another axle that is currently not being used to provide the brake force of the ongoing braking operation is determined. An air gap of those electromechanical service brakes is set according to the current value of the brake touch point.

A brake system of a vehicle, with electromechanical service brakes on at least one axle designed without force sensors, having a control unit designed to control a braking operation for meeting a braking demand by activating the electromechanical service brakes of all the axles. An acquisition element on each of the electromechanical service brakes acquires a parameter from which a current brake touch point of the electromechanical service brake in question can be determined. For operating the brake system, the brakes on one of the axles of the vehicle are actuated during a braking operation. A current value of a brake touch point of the electromechanical service brakes on another axle that is currently not being used to provide the brake force of the ongoing braking operation is determined. An air gap of those electromechanical service brakes is set according to the current value of the brake touch point.