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Family name Cotten (Cotten , コットン , 科滕 ) , all over the world, is quite a common surname. The family name Cotten is characteristic of France, where it is quite a rare surname, the United States, and Australia, where it is a rare surname. Not in comparison with a country's population, it is the most numerous in the United States, France, and Canada. Very seldom, Cotten is the forename as well as the last name.