quit vs lay off

quit and lay off both are verbs.

Word	Noun	Adjective	Verb	Adverb
quit	No	No	Yes	No
lay off	No	No	Yes	No

As verbs, quit and lay off are synonyms defined as:

Other synonyms of quit include cease, discontinue, give up, stop.

quit (verb)	lay off (verb)
give up in the face of defeat of lacking hope; admit defeat	dismiss, usually for economic reasons
go away or leave	put an end to a state or an activity
turn away from; give up
give up or retire from a position
put an end to a state or an activity