French capital vs capital of France

French capital and capital of France both are nouns.

Word	Noun	Adjective	Verb	Adverb
French capital	Yes	No	No	No
capital of France	Yes	No	No	No

As nouns, French capital and capital of France are synonyms defined as:

French capital and capital of France: the capital and largest city of France; and international center of culture and commerce

Other synonyms of French capital include City of Light, Paris.

French capital (noun)	capital of France (noun)
the capital and largest city of France; and international center of culture and commerce	the capital and largest city of France; and international center of culture and commerce