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    GCF (HCF) of 25 and 125

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 25 and 125?

    Answer

    GCF (HCF) of 25 and 125 is
    25

    Common factors: 1, 5, 25

    25 divides 125 (125 ÷ 25 = 5), so the GCF is the smaller number itself.

    25 = 52

    125 = 53

    Prime25125Lowest power
    5525352

    GCF = 52 = 25

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    What is the GCF (HCF) of 25 and 125. The GCF of 25 and 125 is 25 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    FAQ

    What is the Greatest Common Divisor of 25 and 125?

    GCF (HCF) of 25 and 125 is 25

    How to find the GCF of 25 and 125?

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

    What prime factors do 25 and 125 share?

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

    How does the GCF reduce the fraction 25/125?

    Divide the numerator and the denominator by the GCF 25: 25 ÷ 25 = 1 and 125 ÷ 25 = 5. So 25/125 in lowest terms is 1/5.