facility vs skillfulness

facility and skillfulness both are nouns.

Word	Noun	Adjective	Verb	Adverb
facility	Yes	No	No	No
skillfulness	Yes	No	No	No

As nouns, skillfulness is a hypernym of facility; that is, skillfulness is a word with a broader meaning than facility:

facility (noun)	skillfulness (noun)
a service that an organization or a piece of equipment offers you	the state of being cognitively skillful
something designed and created to serve a particular function and to afford a particular convenience or service
a building or place that provides a particular service or is used for a particular industry
a natural effortlessness
skillful performance or ability without difficulty