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 4, 8 and 12

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

    What's the Greatest Common Factor (GCF) of 4, 8 and 12?

    Answer

    GCF of 4, 8 and 12 is
    4

    Common factors: 1, 2, 4

    4 divides all three: 4 ÷ 4 = 1, 8 ÷ 4 = 2, 12 ÷ 4 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

    4 = 22

    8 = 23

    12 = 22 × 3

    Prime4812Lowest power
    222232222
    3——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

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/4--8--12Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/4--8--12">What is the GCF of 4, 8 and 12? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 4, 8 and 12? The GCF of 4, 8 and 12 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/4--8--12/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1481
    2482
    3481
    4484
    4581
    4682
    4781
    4884
    4891
    48102
    48111
    48124
    48131
    48142
    48151
    48164
    48171
    48182
    48191
    48204
    48211
    48222
    48231
    48244
    48251
    48262
    48271
    48284
    48291
    48302

    FAQ

    What's the Greatest Common Factor (GCF) of 4, 8 and 12?

    GCF of 4, 8 and 12 is 4

    What prime factors do 4, 8 and 12 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 4, 8 and 12 two numbers at a time?

    Yes. The GCF of 4 and 8 is 4, and the GCF of 4 and 12 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 4 : 8 : 12?

    Divide every term by the GCF 4: 4 ÷ 4 = 1, 8 ÷ 4 = 2 and 12 ÷ 4 = 3. So 4 : 8 : 12 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.

    See Also