The focus of this paper is on a simple half-bridge converter that performs power factor correction (PFC) using current sensorless control. Current sensors increase cost, auxiliary power required, conduction losses, and volume of the PFC converter. Moreover, measurement of high frequency current is demanding, especially in cost-sensitive applications. The PFC converter proposed combines simple half-bridge topology and improved current sensorless-control algorithm that takes into account conduction losses. These losses influence volt-second balance in the input inductor and result in distorted grid current shape. Their effect is especially evident in half-bridge converter, where input inductor operates with high voltage swing. The current sensorless control method proposed compensates this influence and allows achieving sinusoidal current shape. First, the phenomenon of current distortion was shown with numerical simulation in PSIM package. Experimental prototype rated for 350W power was built to verify theoretical and simulation results. Experimental results are in good agreement with those obtained with simulation and theoretically. The PFC converter proposed features low cost of realization and can be used in consumer equipment for connection to the grid.