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    GCF (HCF) of 125 and 175

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 125 and 175?

    Answer

    GCF (HCF) of 125 and 175 is
    25

    Common factors: 1, 5, 25

    25 divides both: 125 ÷ 25 = 5, 175 ÷ 25 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

    125 = 53

    175 = 52 × 7

    Prime125175Lowest power
    5535252
    7—7—

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

    GCF = 52 = 25

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    What is the GCF (HCF) of 125 and 175. The GCF of 125 and 175 is 25 — 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
    1251605
    1251611
    1251621
    1251631
    1251641
    1251655
    1251661
    1251671
    1251681
    1251691
    1251705
    1251711
    1251721
    1251731
    1251741
    12517525
    1251761
    1251771
    1251781
    1251791
    1251805
    1251811
    1251821
    1251831
    1251841
    1251855
    1251861
    1251871
    1251881
    1251891

    FAQ

    What is the Greatest Common Divisor of 125 and 175?

    GCF (HCF) of 125 and 175 is 25

    How to find the GCF of 125 and 175?

    You can find the GCF of 125 and 175 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 175 is 25.

    What prime factors do 125 and 175 share?

    The prime factorizations of 125 and 175 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

    How does the GCF reduce the fraction 125/175?

    Divide the numerator and the denominator by the GCF 25: 125 ÷ 25 = 5 and 175 ÷ 25 = 7. So 125/175 in lowest terms is 5/7.

    See Also