Using prime factorization, find the HCF and LCM of: 1152, 1664 - Vidyadip

Question

Using prime factorization, find the $HCF$ and $LCM$ of:
$1152, 1664$

✓

Answer

$1152 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 2^7 \times 3^2$
$1664 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^7 = 128$
$HCF (1152, 1664) = 2^7 = 128L$
$CM (1152, 1664) = 2^7 \times 3^2 \times 13 = 14976$
$HCF \times LCM = 1916928 1152 \times 1664 = 1916928$
$\Rightarrow HCF \times LCM =$ product of given numbers Hence verified.

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