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    GCF for 6, 9 and 15

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

    What's the Greatest Common Factor (GCF) of 6, 9 and 15?

    Answer

    GCF of 6, 9 and 15 is
    3

    Common factors: 1, 3

    3 divides all three: 6 ÷ 3 = 2, 9 ÷ 3 = 3, 15 ÷ 3 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

    6 = 2 × 3

    9 = 32

    15 = 3 × 5

    Prime6915Lowest power
    22———
    333233
    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/6--9--15Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/6--9--15">What is the GCF of 6, 9 and 15? - Calculatio</a>Copy
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    What is the GCF of 6, 9 and 15? The GCF of 6, 9 and 15 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/6--9--15/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1691
    2691
    3693
    4691
    5691
    6693
    6791
    6891
    6993
    69101
    69111
    69123
    69131
    69141
    69153
    69161
    69171
    69183
    69191
    69201
    69213
    69221
    69231
    69243
    69251
    69261
    69273
    69281
    69291
    69303

    FAQ

    What's the Greatest Common Factor (GCF) of 6, 9 and 15?

    GCF of 6, 9 and 15 is 3

    What prime factors do 6, 9 and 15 share?

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

    Can you get the GCF of 6, 9 and 15 two numbers at a time?

    Yes. The GCF of 6 and 9 is 3, and the GCF of 3 and 15 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 6 : 9 : 15?

    Divide every term by the GCF 3: 6 ÷ 3 = 2, 9 ÷ 3 = 3 and 15 ÷ 3 = 5. So 6 : 9 : 15 in lowest terms is 2 : 3 : 5, and no whole number other than 1 divides all three of those.