Question

Find HCF and LCM of 24 and 36 by prime factorisation method.

Answer 1

Finding the HCF and LCM of 24 and 36

24 = 2 × 2 × 2 × 3

⇒ 24 = 2³ × 3

36 = 2 × 2 × 3 × 3

⇒ 36 = 2² × 3²

HCF of (24, 36) = 2 × 2 × 3

⇒ HCF of (24, 36) = 12

LCM of (24, 36) = 2 × 2 × 3 × 2 × 3

⇒ LCM of (24, 36) = 72

Hence the HCF and LCM of 24 and 36 are 12 and 72 respectively.