Alaska is about 6,277 times bigger than Cook Islands.

Cook Islands is approximately 236 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 627,590% larger than Cook Islands. Meanwhile, the population of Cook Islands is ~8,128 people (702,103 more people live in Alaska).
Tip: This to-scale comparison of Cook Islands vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.