olfactory nerve vs first cranial nerve

olfactory nerve and first cranial nerve both are nouns.

Word	Noun	Adjective	Verb	Adverb
olfactory nerve	Yes	No	No	No
first cranial nerve	Yes	No	No	No

As nouns, olfactory nerve and first cranial nerve are synonyms defined as:

olfactory nerve and first cranial nerve: a collective term for numerous olfactory filaments in the nasal mucosa

Other synonyms of olfactory nerve include nervii olfactorii.

olfactory nerve (noun)	first cranial nerve (noun)
a collective term for numerous olfactory filaments in the nasal mucosa	a collective term for numerous olfactory filaments in the nasal mucosa