Question

The highest common factor of 84 and 108 is:

• A. 16
• B. 8
• C. 12
• D. 6

Answer 1

Answer:

C. 12

Find HCF (GCD) of 84 and 108.

Prime factorization

$84 = 2^2 \times 3 \times 7$

$108 = 2^2 \times 3^3$
Common factors (lowest powers)

$2^2 \times 3 = 4 \times 3 = 12$

Final Answer:

HCF = 12