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    GCF (HCF) of 27 and 18

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 27 and 18?

    Answer

    GCF (HCF) of 27 and 18 is
    9

    Common factors: 1, 3, 9

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

    27 = 33

    18 = 2 × 32

    Prime2718Lowest power
    2—2—
    3333232

    — = 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 27 and 18. The GCF of 27 and 18 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
    27189
    27281
    27303
    27311
    27321
    27333
    27341
    27351
    27369
    27381
    27393
    27401
    27423
    27431
    27459
    27461
    27483
    27491
    27501
    27513
    275427
    27561
    27573
    27603
    27639
    27641
    27753
    278127
    27909
    271001

    FAQ

    What is the Greatest Common Divisor of 27 and 18?

    GCF (HCF) of 27 and 18 is 9

    How to find the GCF of 27 and 18?

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

    What prime factors do 27 and 18 share?

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

    How does the GCF reduce the fraction 27/18?

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

    See Also