Using prime factorization, find the $H C F$ and $L C M$ of $36$ , $84$ .

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Solution

Factors of $36 = 2^{2} \times 3^{2}$
Factors of $84 = 2^{2} \times 3 \times 7$

$H C F = 2^{2} \times 3 = 12$
$L C M = 2^{2} \times 3^{2} \times 7 = 252$
Hence, $H C F$ is $12$ and $L C M$ is $252$ .

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