Question

Using prime factorization, find the HCF and LCM of  144, 198  In case verify that HCF × LCM = product of given numbers.

Answer 1

Prime factorization: 

144 = 2⁴ × 3²
198 = 2 × 3² × 11
HCF = product of smallest power of each common prime factor in the numbers = 2 × 3² = 18
LCM = product of greatest power of each prime factor involved in the numbers = 2⁴ × 3² × 11 = 1584