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Last name Iturriaga (Iturriaga ) , in all the world, is quite a common family name. The cognomen Iturriaga is characteristic of Latin America and the Caribbean, particularly Chile, where it is quite a common surname, Panama, where it is quite a rare surname, and Argentina. Measured by absolute frequency, the name is most common in Latin America and the Caribbean, particularly Mexico, Chile, and Argentina. Much less frequently, Iturriaga is the forename as well as the last name.