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, 24 and 36

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

    What's the Greatest Common Factor (GCF) of 12, 24 and 36?

    Answer

    GCF of 12, 24 and 36 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides all three: 12 ÷ 12 = 1, 24 ÷ 12 = 2, 36 ÷ 12 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

    12 = 22 × 3

    24 = 23 × 3

    36 = 22 × 32

    Prime122436Lowest power
    222232222
    333323

    GCF = 22 × 3 = 12

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--24--36Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/12--24--36">What is the GCF of 12, 24 and 36? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 12, 24 and 36? The GCF of 12, 24 and 36 is 12 — 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--24--36/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1221243
    1222242
    1223241
    12242412
    1224251
    1224262
    1224273
    1224284
    1224291
    1224306
    1224311
    1224324
    1224333
    1224342
    1224351
    12243612
    1224371
    1224382
    1224393
    1224404
    1224411
    1224426
    1224431
    1224444
    1224453
    1224462
    1224471
    12244812
    1224491
    1224502

    FAQ

    What's the Greatest Common Factor (GCF) of 12, 24 and 36?

    GCF of 12, 24 and 36 is 12

    What prime factors do 12, 24 and 36 share?

    All three factorizations contain 2 × 2 × 3, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    Can you get the GCF of 12, 24 and 36 two numbers at a time?

    Yes. The GCF of 12 and 24 is 12, and the GCF of 12 and 36 is 12 — 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 : 24 : 36?

    Divide every term by the GCF 12: 12 ÷ 12 = 1, 24 ÷ 12 = 2 and 36 ÷ 12 = 3. So 12 : 24 : 36 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.

    See Also