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    GCF (HCF) of 39 and 54

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 39 and 54?

    Answer

    GCF (HCF) of 39 and 54 is
    3

    Common factors: 1, 3

    3 divides both: 39 ÷ 3 = 13, 54 ÷ 3 = 18 — and 13 and 18 share no factor but 1, so no larger number divides both.

    39 = 3 × 13

    54 = 2 × 33

    Prime3954Lowest power
    2—2—
    33333
    1313——

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

    GCF = 3

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    What is the GCF (HCF) of 39 and 54. The GCF of 39 and 54 is 3 — 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
    39401
    39411
    39423
    39431
    39453
    39461
    39471
    39483
    39491
    39513
    395213
    39531
    39543
    39561
    396513
    3913013

    FAQ

    What is the Greatest Common Divisor of 39 and 54?

    GCF (HCF) of 39 and 54 is 3

    How to find the GCF of 39 and 54?

    You can find the GCF of 39 and 54 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 39 and 54 is 3.

    What prime factors do 39 and 54 share?

    The prime factorizations of 39 and 54 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 39/54?

    Divide the numerator and the denominator by the GCF 3: 39 ÷ 3 = 13 and 54 ÷ 3 = 18. So 39/54 in lowest terms is 13/18.

    See Also