Question

Find the HCF of 24, 36 and 60.

• A. 12
• B. 360
• C. 4
• D. 6

Answer 1

Answer:

A. 12

Let’s find the HCF (Highest Common Factor) of 24, 36, and 60.

Prime factorization:

• $(24 = 2^3 \times 3)$

• $(36 = 2^2 \times 3^2)$

• $(60 = 2^2 \times 3 \times 5)$

  Common prime factors (with smallest powers):

• $(2^2)$

• $(3^1)$

  HCF:

$2^2 \times 3 = 4 \times 3 = \boxed{12}$

HCF = 12