HCF of the following numbers using prime factorization method:
(i) 144 , 198
(ii) 81 , 117
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Solution:
(i) 144 and 198
Prime factorization of 144 = 2 × 2 × 2 × 3 × 3
Prime factorization of 198 = 2 × 3 × 3 ×11
Therefore, HCF = 2 × 2 × 3 = 18
(ii) 81 and 117
Prime factorization of 81 = 3 × 3 × 3 × 3
Prime factorization of 117 = 3 × 3 ×13
Therefore, HCF = 3 × 3 = 9
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