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    GCF for 6, 12 and 18

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

    What's the Greatest Common Factor (GCF) of 6, 12 and 18?

    Answer

    GCF of 6, 12 and 18 is
    6

    Common factors: 1, 2, 3, 6

    6 divides all three: 6 ÷ 6 = 1, 12 ÷ 6 = 2, 18 ÷ 6 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

    6 = 2 × 3

    12 = 22 × 3

    18 = 2 × 32

    Prime61218Lowest power
    222222
    333323

    GCF = 2 × 3 = 6

    See Also

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/6--12--18Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/6--12--18">What is the GCF of 6, 12 and 18? - Calculatio</a>Copy
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    What is the GCF of 6, 12 and 18? The GCF of 6, 12 and 18 is 6 — 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--12--18/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    36123
    46122
    56121
    66126
    67121
    68122
    69123
    610122
    611121
    612126
    612131
    612142
    612153
    612162
    612171
    612186
    612191
    612202
    612213
    612222
    612231
    612246
    612251
    612262
    612273
    612282
    612291
    612306
    612311
    612322

    FAQ

    What's the Greatest Common Factor (GCF) of 6, 12 and 18?

    GCF of 6, 12 and 18 is 6

    What prime factors do 6, 12 and 18 share?

    All three factorizations contain 2 × 3, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    Can you get the GCF of 6, 12 and 18 two numbers at a time?

    Yes. The GCF of 6 and 12 is 6, and the GCF of 6 and 18 is 6 — 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 : 12 : 18?

    Divide every term by the GCF 6: 6 ÷ 6 = 1, 12 ÷ 6 = 2 and 18 ÷ 6 = 3. So 6 : 12 : 18 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.