Question

the largest integer which is a factor of both 360 and 400

Answer 1

find the prime factorization of 360

360=2×2×2×3×3×5

find the prime factorization of 400

400=2×2×2×2×5×5.

to find the GCF, multiply all the prime factors common to both numbers

therefore GCF=2×2×3

×2×5

GCF=40