distinguishing characteristic vs distinctive feature

distinguishing characteristic and distinctive feature both are nouns.

Word	Noun	Adjective	Verb	Adverb
distinguishing characteristic	Yes	No	No	No
distinctive feature	Yes	No	No	No

As nouns, distinguishing characteristic and distinctive feature are synonyms defined as:

distinguishing characteristic and distinctive feature: an odd or unusual characteristic

Other synonyms of distinguishing characteristic include peculiarity.

distinguishing characteristic (noun)	distinctive feature (noun)
an odd or unusual characteristic	an odd or unusual characteristic