Question

Using prime factorization, find the HCF and LCM of  96, 404  In case verify that HCF × LCM = product of given numbers.

Answer 1

Prime factorization:
96 = 2⁵ × 3
404 = 2² × 101
HCF = product of smallest power of each common prime factor in the numbers = 2² = 4
LCM = product of greatest power of each prime factor involved in the numbers = 2⁵ × 3 × 101 = 9696