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    GCF (HCF) of 54 and 36

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 54 and 36?

    Answer

    GCF (HCF) of 54 and 36 is
    18

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

    18 divides both: 54 ÷ 18 = 3, 36 ÷ 18 = 2 — and 3 and 2 share no factor but 1, so no larger number divides both.

    54 = 2 × 33

    36 = 22 × 32

    Prime5436Lowest power
    22222
    3333232

    GCF = 2 × 32 = 18

    More with these numbers

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    What is the GCF (HCF) of 54 and 36. The GCF of 54 and 36 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
    54213
    54222
    54231
    54246
    54251
    54262
    542727
    54282
    54291
    54306
    54311
    54322
    54333
    54342
    54351
    543618
    54371
    54382
    54393
    54402
    54411
    54426
    54431
    54442
    54459
    54462
    54471
    54486
    54491
    54502

    FAQ

    What is the Greatest Common Divisor of 54 and 36?

    GCF (HCF) of 54 and 36 is 18

    How to find the GCF of 54 and 36?

    You can find the GCF of 54 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 36 is 18.

    What prime factors do 54 and 36 share?

    The prime factorizations of 54 and 36 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 54/36?

    Divide the numerator and the denominator by the GCF 18: 54 ÷ 18 = 3 and 36 ÷ 18 = 2. So 54/36 in lowest terms is 3/2.

    See Also