Power Factor measures the efficiency of a battery charger. In simple terms, power factor is the ratio of power drawn by the charger to the power actually utilized in charging. It is between 0 and 1 in value. The closer your Power Factor is to 1, the higher the efficiency. You can refer the figure attached with this answer, have a look:
The power factor has no appreciable effect on the battery charging process since it is a characteristics of the battery charger itself. The battery charger draws a current from the grid which is phase shifted from the mains voltage. The power factor is = cos phi where phi is the phase shift in the circuit of the charger.
The grid must supply aa apparent power = active power/cos phi.
This has adverse effects on the power generators which must generate a larger power than that consumed and also it must transport it the site of the load leading to power loss and greater cost of the generators.
The system which affects the battery is the batter charge controller.
For more information please follow the paper in the link:Article Enhancing the design of battery charging controllers for pho...