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Last name Coz (Coz , كوز , قوز ) , in the world, is a common family name. The last name Coz is habitual in Latin America and the Caribbean, particularly Aruba, where it is quite a common surname, Guatemala, and Peru, where it is quite a rare surname. Not in comparison with a country's population, it is commonest in Ukraine, Peru, and France. Much less frequently, Coz is the forename as well as the last name.