factor out vs consider

factor out and consider both are verbs.

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

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

Other hypernyms of factor out include study.

factor out (verb)	consider (verb)
resolve into factors	deem to be
consider as relevant when making a decision	take into consideration for exemplifying purposes
	regard or treat with consideration, respect, and esteem
	judge or regard; look upon; judge
	show consideration for; take into account
	think about carefully; weigh
	give careful consideration to
	look at attentively
	look at carefully; study mentally