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    GCF for 12, 15 and 18

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

    What's the Greatest Common Factor (GCF) of 12, 15 and 18?

    Answer

    GCF of 12, 15 and 18 is
    3

    Common factors: 1, 3

    3 divides all three: 12 ÷ 3 = 4, 15 ÷ 3 = 5, 18 ÷ 3 = 6 — and 4, 5 and 6 have no factor but 1 common to all of them, so no larger number divides all three.

    12 = 22 × 3

    15 = 3 × 5

    18 = 2 × 32

    Prime121518Lowest power
    222—2—
    333323
    5—5——

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

    GCF = 3

    See Also

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--15--18Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--15--18">What is the GCF of 12, 15 and 18? - Calculatio</a>Copy
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    What is the GCF of 12, 15 and 18? The GCF of 12, 15 and 18 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/12--15--18/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    312153
    412151
    512151
    612153
    712151
    812151
    912153
    1012151
    1112151
    1212153
    1213151
    1214151
    1215153
    1215161
    1215171
    1215183
    1215191
    1215201
    1215213
    1215221
    1215231
    1215243
    1215251
    1215261
    1215273
    1215281
    1215291
    1215303
    1215311
    1215321

    FAQ

    What's the Greatest Common Factor (GCF) of 12, 15 and 18?

    GCF of 12, 15 and 18 is 3

    What prime factors do 12, 15 and 18 share?

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

    Can you get the GCF of 12, 15 and 18 two numbers at a time?

    Yes. The GCF of 12 and 15 is 3, and the GCF of 3 and 18 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 12 : 15 : 18?

    Divide every term by the GCF 3: 12 ÷ 3 = 4, 15 ÷ 3 = 5 and 18 ÷ 3 = 6. So 12 : 15 : 18 in lowest terms is 4 : 5 : 6, and no whole number other than 1 divides all three of those.