Question
Find the HCF set of numbers using prime factorisation method.
84, 120

Answer

84, 120
Prime factorisation of 84 = 2 × 2 × 3 × 7
Prime factorisation of 120 = 2 × 2 × 2 × 3 × 5
Common factors of 84 and 120 = 2 × 2 × 3
HCF (84, 120) = 12
2 84
2 42
3 21
7 7
4
2 120
2 60
2 30
3 15
5 5
1

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