prose vs genre

prose and genre both are nouns.

Word	Noun	Adjective	Verb	Adverb
prose	Yes	No	No	No
genre	Yes	No	No	No

As nouns, genre is a hypernym of prose; that is, genre is a word with a broader meaning than prose:

Other hypernyms of prose include literary genre, writing style.

prose (noun)	genre (noun)
ordinary writing as distinguished from verse	a class of art (or artistic endeavor) having a characteristic form or technique
matter of fact, commonplace, or dull expression	a kind of literary or artistic work
	a style of expressing yourself in writing