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Surname Gaff (Kaab , Gaff , Gaffe ) , worldwide, is quite a rare last name. The last name Gaff is habitual in Morocco, where it is quite a rare surname, Tunisia, and Trinidad and Tobago. Not in comparison with a country's population, it is the most numerous in the United States, Morocco, and France. Much less frequently, Gaff is the forename as well as the last name.