Alaska is about 4.7 times bigger than New Mexico.

New Mexico is approximately 314,310 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 371% larger than New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (1.3 million fewer people live in Alaska).
Tip: This to-scale comparison of New Mexico vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.