Question

find HCF and LCM of 108 and 128 by prime factorization​

Answer 1

Answer:

$108 = 2 \times 2 \times 3 \times 3 \times 3 \\ = {2}^{2} \times {3}^{3}$

$128 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ = {2}^{7}$

Common factors = 2 × 2 = 4

HCF (108,128) = 4

LCM (108,128) = 4 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 3456

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