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    GCF for 12, 18 and 30

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

    What's the Greatest Common Factor (GCF) of 12, 18 and 30?

    Answer

    GCF of 12, 18 and 30 is
    6

    Common factors: 1, 2, 3, 6

    6 divides all three: 12 ÷ 6 = 2, 18 ÷ 6 = 3, 30 ÷ 6 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

    12 = 22 × 3

    18 = 2 × 32

    30 = 2 × 3 × 5

    Prime121830Lowest power
    222222
    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/12--18--30Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--18--30">What is the GCF of 12, 18 and 30? - Calculatio</a>Copy
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    What is the GCF of 12, 18 and 30? The GCF of 12, 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/12--18--30/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1215183
    1216182
    1217181
    1218186
    1218191
    1218202
    1218213
    1218222
    1218231
    1218246
    1218251
    1218262
    1218273
    1218282
    1218291
    1218306
    1218311
    1218322
    1218333
    1218342
    1218351
    1218366
    1218371
    1218382
    1218393
    1218402
    1218411
    1218426
    1218431
    1218442

    FAQ

    What's the Greatest Common Factor (GCF) of 12, 18 and 30?

    GCF of 12, 18 and 30 is 6

    What prime factors do 12, 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 12, 18 and 30 two numbers at a time?

    Yes. The GCF of 12 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 12 : 18 : 30?

    Divide every term by the GCF 6: 12 ÷ 6 = 2, 18 ÷ 6 = 3 and 30 ÷ 6 = 5. So 12 : 18 : 30 in lowest terms is 2 : 3 : 5, and no whole number other than 1 divides all three of those.