Gaitán also spelled Gaytán and Gaitan (From Latin: Caietanus, Arabic: جيتني Geaitani, Ancient Greek: Καίετανος Kaietanos, Modern Greek: Γαϊτάνος/Γαϊτάνης Gaitanos/Gaitanis meaning who come from the cave/port or who come from Gaeta, ancient Greek port of the Italian province of Lazio) is a common Spanish surname of Byzantine Greek-Latin Mediterranean origin.