consider vs factor out

consider and factor out both are verbs.

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

As verbs, factor out is a hyponym of consider; that is, factor out is a word with a more specific, narrower meaning than consider:

Other hyponyms of consider include factor, factor in, compare, equate, liken.

consider (verb)	factor out (verb)
deem to be	resolve into factors
take into consideration for exemplifying purposes	consider as relevant when making a decision
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