find the HCF prime factorization 40,56,60
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The prime factorization of 56 is: 2 x 2 x 2 x 7. The prime factorization of 40 is: 2 x 2 x 2 x 5. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(56,56) = 280.
Finding HCF & LCM with prime factorisations
This allows us to match up the prime factors. The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12.
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