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In Mathematics / Middle School | 2014-09-13

What is the HCF (highest common factor) of 25 and 125?

Asked by danialhussain255

Answer (2)

25=5x5 -- the same as 5 2 125=5x5x5 -- the same as 5 3
As we can see there are 2 5s in the prime factors of 25 and 3 in the prime factors of 125. Therefore we pick the maximum number that is in both, which is 2, to get the HCF.
5 ∗ 5 = 25 **
** The HCF of 25 and 125 is 25.

Answered by TaylorBayley | 2024-06-10

The highest common factor (HCF) of 25 and 125 is 25. This is determined by finding the prime factorization of both numbers and taking the lowest power of their common prime factors. Specifically, 25 = 5 2 and 125 = 5 3 , where the HCF is 5 2 = 25 .
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Answered by TaylorBayley | 2025-01-28

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