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    GCF for 3, 12 and 18

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

    What's the Greatest Common Factor (GCF) of 3, 12 and 18?

    Answer

    GCF of 3, 12 and 18 is
    3

    Common factors: 1, 3

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

    3 — prime

    12 = 22 × 3

    18 = 2 × 32

    Prime31218Lowest power
    2—222—
    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--12--18Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/3--12--18">What is the GCF of 3, 12 and 18? - Calculatio</a>Copy
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    What is the GCF of 3, 12 and 18? The GCF of 3, 12 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/3--12--18/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    33123
    34121
    35121
    36123
    37121
    38121
    39123
    310121
    311121
    312123
    312131
    312141
    312153
    312161
    312171
    312183
    312191
    312201
    312213
    312221
    312231
    312243
    312251
    312261
    312273
    312281
    312291
    312303
    312311
    312321

    FAQ

    What's the Greatest Common Factor (GCF) of 3, 12 and 18?

    GCF of 3, 12 and 18 is 3

    What prime factors do 3, 12 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 3, 12 and 18 two numbers at a time?

    Yes. The GCF of 3 and 12 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 3 : 12 : 18?

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