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    GCF (HCF) of 625 and 1000

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    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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    What is the GCF (HCF) of 625 and 1000. The GCF of 625 and 1,000 is 125 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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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.

    See Also