Using prime factorization, find the HCF and LCM of: 144, 198 - Vidyadip

Question

Using prime factorization, find the $HCF$ and $LCM$ of:
$144, 198$

✓

Answer

$144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 2^4 \times 3^2$
$198 = 2 \times 3 \times 3 \times 11= 2 \times 3^2 \times 11$
$HCF (144, 198) = 2 \times 3^2 = 18$
$LCM (144, 198) = 2^4 \times 3^2 \times 11 = 1584$
$HCF \times LCM = 28512 144 \times 198 = 28512$
$\Rightarrow HCF \times LCM =$ product of given numbers Hence verified.

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