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    GCF (HCF) of 54 and 180

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 54 and 180?

    Answer

    GCF (HCF) of 54 and 180 is
    18

    Common factors: 1, 2, 3, 6, 9, 18

    18 divides both: 54 ÷ 18 = 3, 180 ÷ 18 = 10 — and 3 and 10 share no factor but 1, so no larger number divides both.

    54 = 2 × 33

    180 = 22 × 32 × 5

    Prime54180Lowest power
    22222
    3333232
    5—5—

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

    GCF = 2 × 32 = 18

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    What is the GCF (HCF) of 54 and 180. The GCF of 54 and 180 is 18 — 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
    541653
    541662
    541671
    541686
    541691
    541702
    541719
    541722
    541731
    541746
    541751
    541762
    541773
    541782
    541791
    5418018
    541811
    541822
    541833
    541842
    541851
    541866
    541871
    541882
    5418927
    541902
    541911
    541926
    541931
    541942

    FAQ

    What is the Greatest Common Divisor of 54 and 180?

    GCF (HCF) of 54 and 180 is 18

    How to find the GCF of 54 and 180?

    You can find the GCF of 54 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 180 is 18.

    What prime factors do 54 and 180 share?

    The prime factorizations of 54 and 180 have 2 × 3 × 3 in common, and multiplying those shared primes gives 18 — exactly the greatest common factor.

    How does the GCF reduce the fraction 54/180?

    Divide the numerator and the denominator by the GCF 18: 54 ÷ 18 = 3 and 180 ÷ 18 = 10. So 54/180 in lowest terms is 3/10.

    See Also