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    GCF for 18, 27 and 30

    "Greatest Common Factor of 3 Numbers" Calculator
    Greatest Common Factor of
    ,
    and

    What's the Greatest Common Factor (GCF) of 18, 27 and 30?

    Answer

    GCF of 18, 27 and 30 is
    3

    Common factors: 1, 3

    3 divides all three: 18 ÷ 3 = 6, 27 ÷ 3 = 9, 30 ÷ 3 = 10 — and 6, 9 and 10 have no factor but 1 common to all of them, so no larger number divides all three.

    18 = 2 × 32

    27 = 33

    30 = 2 × 3 × 5

    Prime182730Lowest power
    22—2—
    3323333
    5——5—

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

    GCF = 3

    More with these numbers

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--27--30Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--27--30">What is the GCF of 18, 27 and 30? - Calculatio</a>Copy
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    What is the GCF of 18, 27 and 30? The GCF of 18, 27 and 30 is 3 — the largest number that divides all three with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--27--30/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1518273
    1618271
    1718271
    1818279
    1819271
    1820271
    1821273
    1822271
    1823271
    1824273
    1825271
    1826271
    1827279
    1827281
    1827291
    1827303
    1827311
    1827321
    1827333
    1827341
    1827351
    1827369
    1827371
    1827381
    1827393
    1827401
    1827411
    1827423
    1827431
    1827441

    FAQ

    What's the Greatest Common Factor (GCF) of 18, 27 and 30?

    GCF of 18, 27 and 30 is 3

    What prime factors do 18, 27 and 30 share?

    All three factorizations contain 3, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    Can you get the GCF of 18, 27 and 30 two numbers at a time?

    Yes. The GCF of 18 and 27 is 9, and the GCF of 9 and 30 is 3 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

    How does the GCF simplify the ratio 18 : 27 : 30?

    Divide every term by the GCF 3: 18 ÷ 3 = 6, 27 ÷ 3 = 9 and 30 ÷ 3 = 10. So 18 : 27 : 30 in lowest terms is 6 : 9 : 10, and no whole number other than 1 divides all three of those.

    See Also