Question
Find the HCF of $1008$ and $1080$ by prime factorization method.
✓
Answer
$1008 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7$
$= 2^4 \times 3^2 \times 7$
$1080 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 5$
So, the HCF $= 2^3 \times 3^2 = 72$
$= 2^4 \times 3^2 \times 7$
$1080 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 5$
So, the HCF $= 2^3 \times 3^2 = 72$
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