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    GCF (HCF) of 50 and 180

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 50 and 180?

    Answer

    GCF (HCF) of 50 and 180 is
    10

    Common factors: 1, 2, 5, 10

    10 divides both: 50 ÷ 10 = 5, 180 ÷ 10 = 18 — and 5 and 18 share no factor but 1, so no larger number divides both.

    50 = 2 × 52

    180 = 22 × 32 × 5

    Prime50180Lowest power
    22222
    3—32—
    55255

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

    GCF = 2 × 5 = 10

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    What is the GCF (HCF) of 50 and 180. The GCF of 50 and 180 is 10 — 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
    50571
    50591
    506010
    50655
    507010
    50722
    507525
    508010
    50882
    509010
    5010050
    501155
    501455
    5015050
    5017525
    5018010
    5021010
    5022010
    5028010
    502955
    5030050
    5031010
    503155
    5032525
    5033010
    5034010
    5036010
    503655
    5038010
    5039010

    FAQ

    What is the Greatest Common Divisor of 50 and 180?

    GCF (HCF) of 50 and 180 is 10

    How to find the GCF of 50 and 180?

    You can find the GCF of 50 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 180 is 10.

    What prime factors do 50 and 180 share?

    The prime factorizations of 50 and 180 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

    How does the GCF reduce the fraction 50/180?

    Divide the numerator and the denominator by the GCF 10: 50 ÷ 10 = 5 and 180 ÷ 10 = 18. So 50/180 in lowest terms is 5/18.

    See Also