Prime factorization is one of the ways you find the HCF.
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Example: 30 and 42
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF.
The Highest Common Factor (HCF) of 210 and 112 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 210 is 2 x 3 x 5 x 7, and the prime factorization of 112 is 2^4 x 7. The common factors are 2 and 7, so the HCF is 2 x 7 = 14.
What is the prime factorization of 256^180
3 is already prime. No factorization.
113 is already prime. No factorization.
prime factorization