Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    GCF for 12, 14 and 18

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

    What's the Greatest Common Factor (GCF) of 12, 14 and 18?

    Answer

    GCF of 12, 14 and 18 is
    2

    Common factors: 1, 2

    2 divides all three: 12 ÷ 2 = 6, 14 ÷ 2 = 7, 18 ÷ 2 = 9 — and 6, 7 and 9 have no factor but 1 common to all of them, so no larger number divides all three.

    12 = 22 × 3

    14 = 2 × 7

    18 = 2 × 32

    Prime121418Lowest power
    222222
    33—32—
    7—7——

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

    GCF = 2

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--14--18Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--14--18">What is the GCF of 12, 14 and 18? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 12, 14 and 18? The GCF of 12, 14 and 18 is 2 — 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--14--18/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    312141
    412142
    512141
    612142
    712141
    812142
    912141
    1012142
    1112141
    1212142
    1213141
    1214142
    1214151
    1214162
    1214171
    1214182
    1214191
    1214202
    1214211
    1214222
    1214231
    1214242
    1214251
    1214262
    1214271
    1214282
    1214291
    1214302
    1214311
    1214322

    FAQ

    What's the Greatest Common Factor (GCF) of 12, 14 and 18?

    GCF of 12, 14 and 18 is 2

    What prime factors do 12, 14 and 18 share?

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

    Can you get the GCF of 12, 14 and 18 two numbers at a time?

    Yes. The GCF of 12 and 14 is 2, and the GCF of 2 and 18 is 2 — 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 : 14 : 18?

    Divide every term by the GCF 2: 12 ÷ 2 = 6, 14 ÷ 2 = 7 and 18 ÷ 2 = 9. So 12 : 14 : 18 in lowest terms is 6 : 7 : 9, and no whole number other than 1 divides all three of those.

    See Also