filth vs grime

filth and grime both are nouns.

Word	Noun	Adjective	Verb	Adverb
filth	Yes	No	No	No
grime	Yes	No	Yes	No

As nouns, filth and grime are synonyms defined as:

Other synonyms of filth include dirt, grease, grunge, soil, stain.

filth (noun)	grime (noun)
an offensive or indecent word or phrase	anything regarded as making something unclean
a state characterized by foul or disgusting dirt and refuse
anything regarded as making something unclean
any substance considered disgustingly foul or unpleasant

filth (verb)	grime (verb)
	make soiled, filthy, or dirty