New Mexico is about 578 times bigger than Guam.

Guam is approximately 544 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 57,678% larger than Guam. Meanwhile, the population of Guam is ~169,086 people (1.9 million more people live in New Mexico).
Tip: This to-scale comparison of Guam vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.