They are both because Greek Cypriots sometimes speak Turkish and Turkish Cypriots sometimes speak Greek. But Turkish Cypriots always have a different accent to people from Turkey because they don't like to think of themselves as Turkish people, they think of themselves as Cypriot's. Greek Cypriots are the same.

Greek Cypriots if born on Hellenic side or Turkish Cypriots on Turkish Side

They are called Cypriots, but usually prefer to be known by whether they are of Greek or Turkish origin. They would describe themselves as either Greek Cypriots or Turkish Cypriots.

Cyprus is in the Mediterranean Sea. South east of Greece, South of Turkey. Turkish Cypriots and Greek Cypriots live separately after the Turkish invasion in 1974. Turkish Cypriots live in the North while Greek Cypriots live in the South. The Greek Cypriots joined EU as the Republic of Cyprus in 2004. The North is not recognized as a country by any country besides Turkey.

Turkish maybe?