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    GCF for 12, 16 and 24

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

    What's the Greatest Common Factor (GCF) of 12, 16 and 24?

    Answer

    GCF of 12, 16 and 24 is
    4

    Common factors: 1, 2, 4

    4 divides all three: 12 ÷ 4 = 3, 16 ÷ 4 = 4, 24 ÷ 4 = 6 — and 3, 4 and 6 have no factor but 1 common to all of them, so no larger number divides all three.

    12 = 22 × 3

    16 = 24

    24 = 23 × 3

    Prime121624Lowest power
    222242322
    33—3—

    — = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

    GCF = 22 = 4

    More with these numbers

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--16--24Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--16--24">What is the GCF of 12, 16 and 24? - Calculatio</a>Copy
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    What is the GCF of 12, 16 and 24? The GCF of 12, 16 and 24 is 4 — 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/12--16--24/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    912161
    1012162
    1112161
    1212164
    1213161
    1214162
    1215161
    1216164
    1216171
    1216182
    1216191
    1216204
    1216211
    1216222
    1216231
    1216244
    1216251
    1216262
    1216271
    1216284
    1216291
    1216302
    1216311
    1216324
    1216331
    1216342
    1216351
    1216364
    1216371
    1216382

    FAQ

    What's the Greatest Common Factor (GCF) of 12, 16 and 24?

    GCF of 12, 16 and 24 is 4

    What prime factors do 12, 16 and 24 share?

    All three factorizations contain 2 × 2, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    Can you get the GCF of 12, 16 and 24 two numbers at a time?

    Yes. The GCF of 12 and 16 is 4, and the GCF of 4 and 24 is 4 — 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 12 : 16 : 24?

    Divide every term by the GCF 4: 12 ÷ 4 = 3, 16 ÷ 4 = 4 and 24 ÷ 4 = 6. So 12 : 16 : 24 in lowest terms is 3 : 4 : 6, and no whole number other than 1 divides all three of those.

    See Also