Alaska is about 1,063 times bigger than Faroe Islands.

Faroe Islands is approximately 1,393 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 106,242% larger than Faroe Islands. Meanwhile, the population of Faroe Islands is ~52,269 people (657,962 more people live in Alaska).
Tip: This to-scale comparison of Faroe Islands vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.