at long last vs finally

at long last and finally both are adverbs.

Word	Noun	Adjective	Verb	Adverb
at long last	No	No	No	Yes
finally	No	No	No	Yes

As adverbs, at long last and finally are synonyms defined as:

Other synonyms of at long last include at last, in the end, ultimately.

at long last (adverb)	finally (adverb)
as the end result of a succession or process	as the end result of a succession or process
	after an unspecified period of time or an especially long delay
	the item at the end