Question

Find the HCF of the numbers in each of the following, using the prime factorization method:
504, 980

Answer 1

The given numbers are 504 and 980.
We have:

504 = 2 × 2 ×2 × 3 × 3 × 7 = 2³ × 3² × 7
980 = 2 × 2 × 5× 7 × 7 = 2² × 5 × 7²
∴ HCF of the given numbers = 2² × 7 = 28