Question
Find the $H.C.F $ of the following numbers using prime factorization method:
$84, 120, 138$
$84, 120, 138$
✓
Answer
$84, 120$ and $138$
Prime factorization of $84 = 2 \times 2 \times 3 \times 7$
Prime factorization of $120 = 2 \times 2 \times 2 \times 3 \times 5$
Prime factorization of $138 = 2 \times 3 \times 23$
Therefore, $HCF = 2 \times 3 = 6$
Prime factorization of $84 = 2 \times 2 \times 3 \times 7$
Prime factorization of $120 = 2 \times 2 \times 2 \times 3 \times 5$
Prime factorization of $138 = 2 \times 3 \times 23$
Therefore, $HCF = 2 \times 3 = 6$
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