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    GCF for 3, 6 and 9

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

    What's the Greatest Common Factor (GCF) of 3, 6 and 9?

    Answer

    GCF of 3, 6 and 9 is
    3

    Common factors: 1, 3

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

    3 — prime

    6 = 2 × 3

    9 = 32

    Prime369Lowest power
    2—2——
    333323

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

    GCF Table

    1st2nd3rdGCF
    1361
    2361
    3363
    3461
    3561
    3663
    3671
    3681
    3693
    36101
    36111
    36123
    36131
    36141
    36153
    36161
    36171
    36183
    36191
    36201
    36213
    36221
    36231
    36243
    36251
    36261
    36273
    36281
    36291
    36303

    FAQ

    What's the Greatest Common Factor (GCF) of 3, 6 and 9?

    GCF of 3, 6 and 9 is 3

    What prime factors do 3, 6 and 9 share?

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

    Can you get the GCF of 3, 6 and 9 two numbers at a time?

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

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