Köycük is a village in Kelkit District, in Gümüşhane Province, Türkiye. Köycük lies at 1,440 m above sea level, 1.5 km from the Gümüşhane Dağları mountains. It has 176 inhabitants. The nearest city is Kelkit, 3.2 km to the southeast. Among the landmarks around are Satala (20 km).