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    GCF (HCF) of 125 and 500

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 125 and 500?

    Answer

    GCF (HCF) of 125 and 500 is
    125

    Common factors: 1, 5, 25, 125

    125 divides 500 (500 ÷ 125 = 4), so the GCF is the smaller number itself.

    125 = 53

    500 = 22 × 53

    Prime125500Lowest power
    2—22—
    5535353

    — = 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 125 and 500. The GCF of 125 and 500 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
    1254855
    1254861
    1254871
    1254881
    1254891
    1254905
    1254911
    1254921
    1254931
    1254941
    1254955
    1254961
    1254971
    1254981
    1254991
    125500125
    1255011
    1255021
    1255031
    1255041
    1255055
    1255061
    1255071
    1255081
    1255091
    1255105
    1255111
    1255121
    1255131
    1255141

    FAQ

    What is the Greatest Common Divisor of 125 and 500?

    GCF (HCF) of 125 and 500 is 125

    How to find the GCF of 125 and 500?

    You can find the GCF of 125 and 500 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 500 is 125.

    What prime factors do 125 and 500 share?

    The prime factorizations of 125 and 500 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 125/500?

    Divide the numerator and the denominator by the GCF 125: 125 ÷ 125 = 1 and 500 ÷ 125 = 4. So 125/500 in lowest terms is 1/4.

    See Also