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.