Question

Find the $HCF$ of by prime factorisation. $48$, $144$

Answer 1

Prime factorization of $48$ is

$\Rightarrow 2\times 2\times 2\times 2\times 3$

$\Rightarrow 2^4\times 3$

and

Prime factorization of $144$ is

$\Rightarrow 2\times 2\times 2\times 2\times 3\times 3$

$\Rightarrow 2^4\times 3^2$

Highest common factor is

$\Rightarrow 2^4\times 3=48$