grime vs bemire

grime is a noun but bemire is not a noun.

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

As verbs, grime and bemire are synonyms defined as:

Other synonyms of grime include begrime, colly, dirty, soil.

grime (noun)	bemire (noun)
anything regarded as making something unclean

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