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Find the H.C.F of 504 and 980 using prime factorization method.
To do: Find the H.C.F of 504 and 980 using prime factorization method
Solution:
Prime factorization of 504 is as follows:
504 = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 7
Prime factorization of 980 is as follows
980 = 2 $\times$ 2 $\times$ 5 $\times$ 7 $\times$ 7
So the HCF of 504 and 980 = 2 $\times$ 2 $\times$ 7 = 28
So HCF of 504 and 980 by prime factorization method is 28.
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