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    GCF for 18, 24 and 30

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

    What's the Greatest Common Factor (GCF) of 18, 24 and 30?

    Answer

    GCF of 18, 24 and 30 is
    6

    Common factors: 1, 2, 3, 6

    6 divides all three: 18 ÷ 6 = 3, 24 ÷ 6 = 4, 30 ÷ 6 = 5 — and 3, 4 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

    18 = 2 × 32

    24 = 23 × 3

    30 = 2 × 3 × 5

    Prime182430Lowest power
    222322
    332333
    5——5—

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

    GCF = 2 × 3 = 6

    More with these numbers

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--24--30Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--24--30">What is the GCF of 18, 24 and 30? - Calculatio</a>Copy
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    What is the GCF of 18, 24 and 30? The GCF of 18, 24 and 30 is 6 — 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--24--30/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1518243
    1618242
    1718241
    1818246
    1819241
    1820242
    1821243
    1822242
    1823241
    1824246
    1824251
    1824262
    1824273
    1824282
    1824291
    1824306
    1824311
    1824322
    1824333
    1824342
    1824351
    1824366
    1824371
    1824382
    1824393
    1824402
    1824411
    1824426
    1824431
    1824442

    FAQ

    What's the Greatest Common Factor (GCF) of 18, 24 and 30?

    GCF of 18, 24 and 30 is 6

    What prime factors do 18, 24 and 30 share?

    All three factorizations contain 2 × 3, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    Can you get the GCF of 18, 24 and 30 two numbers at a time?

    Yes. The GCF of 18 and 24 is 6, and the GCF of 6 and 30 is 6 — 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 : 24 : 30?

    Divide every term by the GCF 6: 18 ÷ 6 = 3, 24 ÷ 6 = 4 and 30 ÷ 6 = 5. So 18 : 24 : 30 in lowest terms is 3 : 4 : 5, and no whole number other than 1 divides all three of those.

    See Also