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    GCF (HCF) of 18 and 27

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 18 and 27?

    Answer

    GCF (HCF) of 18 and 27 is
    9

    Common factors: 1, 3, 9

    9 divides both: 18 ÷ 9 = 2, 27 ÷ 9 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    18 = 2 × 32

    27 = 33

    Prime1827Lowest power
    22——
    3323332

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

    GCF = 32 = 9

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    What is the GCF (HCF) of 18 and 27. The GCF of 18 and 27 is 9 — 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
    18126
    18142
    18153
    18202
    18213
    18222
    18231
    18246
    18251
    18262
    18279
    18282
    18306
    18311
    18322
    18333
    18342
    18351
    183618
    18371
    18382
    18393
    18402
    18426
    18431
    18459
    18462
    18471
    18486
    18491

    FAQ

    What is the Greatest Common Divisor of 18 and 27?

    GCF (HCF) of 18 and 27 is 9

    How to find the GCF of 18 and 27?

    You can find the GCF of 18 and 27 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 27 is 9.

    What prime factors do 18 and 27 share?

    The prime factorizations of 18 and 27 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

    How does the GCF reduce the fraction 18/27?

    Divide the numerator and the denominator by the GCF 9: 18 ÷ 9 = 2 and 27 ÷ 9 = 3. So 18/27 in lowest terms is 2/3.

    See Also