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Vuong Pham · Answer 1 · 2015-12-23T11:45:55+0000

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.

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