Using prime factorization, find the HCF and LCM of

36, 84

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1 Answers

Prime factorization: 

36 = 22 × 3 

84 = 22 × 3 × 7 

HCF = product of smallest power of each common prime factor in the numbers = 22 × 3 = 12 

LCM = product of greatest power of each prime factor involved in the numbers = 22 × 32 × 7 = 252

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