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    GCF for 9, 15 and 18

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

    What's the Greatest Common Factor (GCF) of 9, 15 and 18?

    Answer

    GCF of 9, 15 and 18 is
    3

    Common factors: 1, 3

    3 divides all three: 9 ÷ 3 = 3, 15 ÷ 3 = 5, 18 ÷ 3 = 6 — and 3, 5 and 6 have no factor but 1 common to all of them, so no larger number divides all three.

    9 = 32

    15 = 3 × 5

    18 = 2 × 32

    Prime91518Lowest power
    2——2—
    3323323
    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/9--15--18Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/9--15--18">What is the GCF of 9, 15 and 18? - Calculatio</a>Copy
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    What is the GCF of 9, 15 and 18? The GCF of 9, 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/9--15--18/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    39153
    49151
    59151
    69153
    79151
    89151
    99153
    910151
    911151
    912153
    913151
    914151
    915153
    915161
    915171
    915183
    915191
    915201
    915213
    915221
    915231
    915243
    915251
    915261
    915273
    915281
    915291
    915303
    915311
    915321

    FAQ

    What's the Greatest Common Factor (GCF) of 9, 15 and 18?

    GCF of 9, 15 and 18 is 3

    What prime factors do 9, 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 9, 15 and 18 two numbers at a time?

    Yes. The GCF of 9 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 9 : 15 : 18?

    Divide every term by the GCF 3: 9 ÷ 3 = 3, 15 ÷ 3 = 5 and 18 ÷ 3 = 6. So 9 : 15 : 18 in lowest terms is 3 : 5 : 6, and no whole number other than 1 divides all three of those.