Question

The HCF of 296 and 324 is .

• A. 9
• B. 8
• C. 4

Answer 1

The correct option is C 4

HCF is the product of all common prime numbers with their lowest powers.
By prime factorising 296 and 324, we get,
$296=2^3\times 37$ and
$324=2^2\times 3^4.$
The lowest power common to both $296$ and $324$ is $2^2$. Thus, the HCF of the given two numbers is $2^2=4.$