GCF (HCF) of 625 and 1000

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What is the Greatest Common Divisor of 625 and 1,000?

Answer

GCF (HCF) of 625 and 1,000 is
125

Common factors: 1, 5, 25, 125

125 divides both: 625 ÷ 125 = 5; 1,000 ÷ 125 = 8 — and 5 and 8 share no factor but 1, so no larger number divides both.

625 = 54

1,000 = 23 × 53

Prime6251,000Lowest power
2—23—
5545353

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 53 = 125

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GCF Table

Number 1Number 2GCF
6259855
6259861
6259871
6259881
6259891
6259905
6259911
6259921
6259931
6259941
6259955
6259961
6259971
6259981
6259991
6251,000125
6251,0011
6251,0021
6251,0031
6251,0041
6251,0055
6251,0061
6251,0071
6251,0081
6251,0091
6251,0105
6251,0111
6251,0121
6251,0131
6251,0141

FAQ

What is the Greatest Common Divisor of 625 and 1,000?

GCF (HCF) of 625 and 1,000 is 125

How to find the GCF of 625 and 1,000?

You can find the GCF of 625 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 625 and 1,000 is 125.

What prime factors do 625 and 1,000 share?

The prime factorizations of 625 and 1,000 have 5 × 5 × 5 in common, and multiplying those shared primes gives 125 — exactly the greatest common factor.

How does the GCF reduce the fraction 625/1000?

Divide the numerator and the denominator by the GCF 125: 625 ÷ 125 = 5 and 1,000 ÷ 125 = 8. So 625/1000 in lowest terms is 5/8.

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