factor out vs work out

factor out and work out both are verbs.

Word	Noun	Adjective	Verb	Adverb
factor out	No	No	Yes	No
work out	No	No	Yes	No

As verbs, work out is a hypernym of factor out; that is, work out is a word with a broader meaning than factor out:

Other hypernyms of factor out include calculate, cipher, compute, cypher, figure, reckon.

factor out (verb)	work out (verb)
resolve into factors	do physical exercise
consider as relevant when making a decision	give a workout to
	come up with
	work out in detail
	find the solution to (a problem or question) or understand the meaning of
	make a mathematical calculation or computation
	be calculated
	happen in a certain way, leading to, producing, or resulting in a certain outcome, often well