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    GCF (HCF) of 50 and 325

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 50 and 325?

    Answer

    GCF (HCF) of 50 and 325 is
    25

    Common factors: 1, 5, 25

    25 divides both: 50 ÷ 25 = 2, 325 ÷ 25 = 13 — and 2 and 13 share no factor but 1, so no larger number divides both.

    50 = 2 × 52

    325 = 52 × 13

    Prime50325Lowest power
    22——
    5525252
    13—13—

    — = 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 50 and 325. The GCF of 50 and 325 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
    50882
    509010
    5010050
    501155
    501455
    5015050
    5017525
    5018010
    5021010
    5022010
    5028010
    502955
    5030050
    5031010
    503155
    5032525
    5033010
    5034010
    5036010
    503655
    5038010
    5039010
    503955
    504155
    5042010
    5043010
    504355
    5044010
    5046010
    504655

    FAQ

    What is the Greatest Common Divisor of 50 and 325?

    GCF (HCF) of 50 and 325 is 25

    How to find the GCF of 50 and 325?

    You can find the GCF of 50 and 325 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 325 is 25.

    What prime factors do 50 and 325 share?

    The prime factorizations of 50 and 325 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

    How does the GCF reduce the fraction 50/325?

    Divide the numerator and the denominator by the GCF 25: 50 ÷ 25 = 2 and 325 ÷ 25 = 13. So 50/325 in lowest terms is 2/13.

    See Also