Kiribati is about 1,827 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while Kiribati is approximately 811 sq km, making Kiribati 0.05% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (596,042 fewer people live in Kiribati).
Tip: This to-scale comparison of Alaska vs. Kiribati uses the Mercator projection, which distorts the size of regions near the poles.