grime vs filth

grime and filth both are nouns.

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

As nouns, grime and filth are synonyms defined as:

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

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

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