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Family name Ziva (Ziva , זיוה , Živa ) , around the globe, is quite a rare surname. The family name Ziva is habitual in Slovenia, where it is quite a rare surname, Greece, and Israel, where it is a rare surname. Measured by absolute frequency, it is the most numerous in Indonesia, Russia, and Greece. More prevalently, Ziva is the forename as well as the last name.