factor out vs cipher

factor out is not a noun while cipher is a noun.

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

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

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

factor out (noun)	cipher (noun)
	a secret method of writing
	a message written in a secret code
	a person of no influence
	a quantity of no importance; thing (object:), singular, negative pronoun; pronoun, thing, singular; quantifier: negative existential
	a mathematical element that when added to another number yields the same number

factor out (verb)	cipher (verb)
resolve into factors	make a mathematical calculation or computation
consider as relevant when making a decision	convert ordinary language into code