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Surname Geraci (Geraci , Jiraci ) , throughout the world, is a common cognomen. The family name Geraci is habitual in Italy, where it is quite a common surname, Argentina, where it is quite a rare surname, and France. Measured by absolute frequency, it is the most numerous in Italy, the United States, and France. Much less frequently, Geraci is the forename as well as the last name.