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    GCF (HCF) of 125 and 1000

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 125 and 1,000?

    Answer

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

    Common factors: 1, 5, 25, 125

    125 divides 1,000 (1,000 ÷ 125 = 8), so the GCF is the smaller number itself.

    125 = 53

    1,000 = 23 × 53

    Prime1251,000Lowest power
    2—23—
    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 1000. The GCF of 125 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
    1259855
    1259861
    1259871
    1259881
    1259891
    1259905
    1259911
    1259921
    1259931
    1259941
    1259955
    1259961
    1259971
    1259981
    1259991
    1251,000125
    1251,0011
    1251,0021
    1251,0031
    1251,0041
    1251,0055
    1251,0061
    1251,0071
    1251,0081
    1251,0091
    1251,0105
    1251,0111
    1251,0121
    1251,0131
    1251,0141

    FAQ

    What is the Greatest Common Divisor of 125 and 1,000?

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

    How to find the GCF of 125 and 1,000?

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

    What prime factors do 125 and 1,000 share?

    The prime factorizations of 125 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 125/1000?

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

    See Also