If a furnace has a power factor not equal to 1 then there is a motor involved. If it was pure resistive element the Power Factor would be 1. That being said the motor can operate at .2 PF, but this is unusual and not very efficient. If this is the case I would expect that you have a bad motor control circuit and there may be a blown capacitor.
http://www.tactic.be/2013/02/21/what-are-the-metal-plates-hanging-on-exterior-power-lines/
A: Since you know the current flow you need the voltage drop for this particular led at 20ma. All LED require a current and voltage to operate properly assuming a voltage drop of 2v then for a 12v source it becomes 12-2=10v 10v/.02=500 ohms in series to limit the current is required
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