A step-up converter has a power factor correction, has an input for connection to a supply voltage, in particular a rectified AC voltage; an inductor, a diode and a storage capacitor, which are coupled in a series arrangement between the input and the output, in which the voltage that is dropped across the storage capacitor is provided at the output; a switch, which is coupled between a junction point between the inductor and the diode, on the one hand, and a reference potential, on the other hand; and a drive circuit for the switch which controls the times for which the switch remains closed and open; the drive circuit being designed to control the time for which the switch remains closed as a function of the freewheeling time of the inductor. A method for operating such a step-up converter is also disclosed.