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    GCF (HCF) of 54 and 24

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 54 and 24?

    Answer

    GCF (HCF) of 54 and 24 is
    6

    Common factors: 1, 2, 3, 6

    6 divides both: 54 ÷ 6 = 9, 24 ÷ 6 = 4 — and 9 and 4 share no factor but 1, so no larger number divides both.

    54 = 2 × 33

    24 = 23 × 3

    Prime5424Lowest power
    22232
    33333

    GCF = 2 × 3 = 6

    More with these numbers

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    What is the GCF (HCF) of 54 and 24. The GCF of 54 and 24 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
    5499
    54102
    54111
    54126
    54131
    54142
    54153
    54162
    54171
    541818
    54191
    54202
    54213
    54222
    54231
    54246
    54251
    54262
    542727
    54282
    54291
    54306
    54311
    54322
    54333
    54342
    54351
    543618
    54371
    54382

    FAQ

    What is the Greatest Common Divisor of 54 and 24?

    GCF (HCF) of 54 and 24 is 6

    How to find the GCF of 54 and 24?

    You can find the GCF of 54 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 24 is 6.

    What prime factors do 54 and 24 share?

    The prime factorizations of 54 and 24 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    How does the GCF reduce the fraction 54/24?

    Divide the numerator and the denominator by the GCF 6: 54 ÷ 6 = 9 and 24 ÷ 6 = 4. So 54/24 in lowest terms is 9/4.

    See Also