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    GCF (HCF) of 54 and 60

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 54 and 60?

    Answer

    GCF (HCF) of 54 and 60 is
    6

    Common factors: 1, 2, 3, 6

    6 divides both: 54 ÷ 6 = 9, 60 ÷ 6 = 10 — and 9 and 10 share no factor but 1, so no larger number divides both.

    54 = 2 × 33

    60 = 22 × 3 × 5

    Prime5460Lowest power
    22222
    33333
    5—5—

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

    GCF = 2 × 3 = 6

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    What is the GCF (HCF) of 54 and 60. The GCF of 54 and 60 is 6 — 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
    54459
    54462
    54471
    54486
    54491
    54502
    54513
    54522
    54531
    545454
    54551
    54562
    54573
    54582
    54591
    54606
    54611
    54622
    54639
    54642
    54651
    54666
    54671
    54682
    54693
    54702
    54711
    547218
    54731
    54742

    FAQ

    What is the Greatest Common Divisor of 54 and 60?

    GCF (HCF) of 54 and 60 is 6

    How to find the GCF of 54 and 60?

    You can find the GCF of 54 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 60 is 6.

    What prime factors do 54 and 60 share?

    The prime factorizations of 54 and 60 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    How does the GCF reduce the fraction 54/60?

    Divide the numerator and the denominator by the GCF 6: 54 ÷ 6 = 9 and 60 ÷ 6 = 10. So 54/60 in lowest terms is 9/10.

    See Also