Well-established Gudauri, with the best infrastructure and skiable terrain, is 120km north of Tbilisi in the Great Caucasus. it has excellent powder, runs for all levels, good freeriding and even heliskiing. Bakuriani, in southern Georgia near Borjomi, is family-focused and remote Svanety in the northwest is a developing area growing in popularity, good for adventurous-minded ski travelers. Skiing in Georgia is very cheap compared to Western Europe and North America, crowds are few, and the vibe is refreshingly relaxed and informal.

Source: https://www.lonelyplanet.com/georgia