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    GCF for 6, 18 and 30

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

    What's the Greatest Common Factor (GCF) of 6, 18 and 30?

    Answer

    GCF of 6, 18 and 30 is
    6

    Common factors: 1, 2, 3, 6

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

    6 = 2 × 3

    18 = 2 × 32

    30 = 2 × 3 × 5

    Prime61830Lowest power
    22222
    333233
    5——5—

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

    GCF = 2 × 3 = 6

    See Also

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

    GCF Table

    1st2nd3rdGCF
    615183
    616182
    617181
    618186
    618191
    618202
    618213
    618222
    618231
    618246
    618251
    618262
    618273
    618282
    618291
    618306
    618311
    618322
    618333
    618342
    618351
    618366
    618371
    618382
    618393
    618402
    618411
    618426
    618431
    618442

    FAQ

    What's the Greatest Common Factor (GCF) of 6, 18 and 30?

    GCF of 6, 18 and 30 is 6

    What prime factors do 6, 18 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 6, 18 and 30 two numbers at a time?

    Yes. The GCF of 6 and 18 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 6 : 18 : 30?

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