consulting company vs consulting firm

consulting company and consulting firm both are nouns.

Word	Noun	Adjective	Verb	Adverb
consulting company	Yes	No	No	No
consulting firm	Yes	No	No	No

As nouns, consulting company and consulting firm are synonyms defined as:

consulting company and consulting firm: a firm of experts providing professional advice to an organization for a fee

consulting company (noun)	consulting firm (noun)
a firm of experts providing professional advice to an organization for a fee	a firm of experts providing professional advice to an organization for a fee