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    GCF for 16, 18 and 30

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

    What's the Greatest Common Factor (GCF) of 16, 18 and 30?

    Answer

    GCF of 16, 18 and 30 is
    2

    Common factors: 1, 2

    2 divides all three: 16 ÷ 2 = 8, 18 ÷ 2 = 9, 30 ÷ 2 = 15 — and 8, 9 and 15 have no factor but 1 common to all of them, so no larger number divides all three.

    16 = 24

    18 = 2 × 32

    30 = 2 × 3 × 5

    Prime161830Lowest power
    224222
    3—323—
    5——5—

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

    GCF = 2

    See Also

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/16--18--30Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/16--18--30">What is the GCF of 16, 18 and 30? - Calculatio</a>Copy
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    What is the GCF of 16, 18 and 30? The GCF of 16, 18 and 30 is 2 — 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/16--18--30/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1516181
    1616182
    1617181
    1618182
    1618191
    1618202
    1618211
    1618222
    1618231
    1618242
    1618251
    1618262
    1618271
    1618282
    1618291
    1618302
    1618311
    1618322
    1618331
    1618342
    1618351
    1618362
    1618371
    1618382
    1618391
    1618402
    1618411
    1618422
    1618431
    1618442

    FAQ

    What's the Greatest Common Factor (GCF) of 16, 18 and 30?

    GCF of 16, 18 and 30 is 2

    What prime factors do 16, 18 and 30 share?

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

    Can you get the GCF of 16, 18 and 30 two numbers at a time?

    Yes. The GCF of 16 and 18 is 2, and the GCF of 2 and 30 is 2 — 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 16 : 18 : 30?

    Divide every term by the GCF 2: 16 ÷ 2 = 8, 18 ÷ 2 = 9 and 30 ÷ 2 = 15. So 16 : 18 : 30 in lowest terms is 8 : 9 : 15, and no whole number other than 1 divides all three of those.