Why does the pilot light go out when my furnace kicks off?

Answer

It could be a weak flame so any sort of air back flow might be putting it out. Maybe it's an intermittent pilot though. I don't know of too many set ups like that. Could be a bad thermocouple. Maybe bad heat exchanger. I really can't say for sure without being there and running some tests.

Updated on January 8, 2018

Original Article:

How to Figure Out What is Wrong With Your Furnace
By Dan Robbins
working