To expand a little on waross' reply. It is usual to specify a synchronous motor to be designed for operation at unity power factor. This generally gives the smallest cheapest motor and the most efficient. This is because it has the least copper and least iron.
If you specify one at 0.8 pf, say, then it will run with higher losses than the smaller one. Thi s can cost a fortune over the life of the motor, but its power factor correction abilities could
Offset this.
Current is current, the stator conductors and the cables and the switchgear do not care about power factor.