use euclid division algorithm to find the hcf of 256,576
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Steps to solve the problem:-
1- Find the prime factorization of 256
256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
2- Find the prime factorization of 576
576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
3- To find the gcf, multiply all the prime factors common to both numbers:
4- Therefore, HCF = 2 × 2 × 2 × 2 × 2 × 2
HCF = 64
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