130315-1732 EDT
DW98:
Jraef gave you a good answer. You need to expand your question to clarify what you really want to know.
Power Factor is defined as
PF = Real Power / (Volt*Amperes)
I will add that V and A need to be the RMS values. This definition of PF applies to any arbitrary wave shapes for V and A. Quite obviously A will be dependent on V based on the load.
Thus, a capacitor input DC power supply will have a poor power factor even though you might classify the current pulse near the peak of the voltage waveform to be in phase with the voltage. But there is really no phase angle to use in this non-linear case as there is between two sine waves of identical frequency and with a constant phase difference.
An unloaded single phase motor, meaning running with one oscillating magnetic field, has a particularly bad power factor, like 0.25 . This power factor improves with load. If you have a capacitor run single phase motor, actually a two phase motor, then the power factor is much better.
.