residence hall vs dormitory

residence hall and dormitory both are nouns.

Word	Noun	Adjective	Verb	Adverb
residence hall	Yes	No	No	No
dormitory	Yes	No	No	No

As nouns, residence hall and dormitory are synonyms defined as:

residence hall and dormitory: a college or university building containing living quarters for students

Other synonyms of residence hall include dorm, hall, student residence.

residence hall (noun)	dormitory (noun)
a college or university building containing living quarters for students	a college or university building containing living quarters for students
	a large sleeping room containing several beds