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    GCF (HCF) of 54 and 48

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 54 and 48?

    Answer

    GCF (HCF) of 54 and 48 is
    6

    Common factors: 1, 2, 3, 6

    6 divides both: 54 ÷ 6 = 9, 48 ÷ 6 = 8 — and 9 and 8 share no factor but 1, so no larger number divides both.

    54 = 2 × 33

    48 = 24 × 3

    Prime5448Lowest power
    22242
    33333

    GCF = 2 × 3 = 6

    More with these numbers

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    What is the GCF (HCF) of 54 and 48. The GCF of 54 and 48 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
    54333
    54342
    54351
    543618
    54371
    54382
    54393
    54402
    54411
    54426
    54431
    54442
    54459
    54462
    54471
    54486
    54491
    54502
    54513
    54522
    54531
    545454
    54551
    54562
    54573
    54582
    54591
    54606
    54611
    54622

    FAQ

    What is the Greatest Common Divisor of 54 and 48?

    GCF (HCF) of 54 and 48 is 6

    How to find the GCF of 54 and 48?

    You can find the GCF of 54 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 48 is 6.

    What prime factors do 54 and 48 share?

    The prime factorizations of 54 and 48 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    How does the GCF reduce the fraction 54/48?

    Divide the numerator and the denominator by the GCF 6: 54 ÷ 6 = 9 and 48 ÷ 6 = 8. So 54/48 in lowest terms is 9/8.

    See Also