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 8, 12 and 16

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

    What's the Greatest Common Factor (GCF) of 8, 12 and 16?

    Answer

    GCF of 8, 12 and 16 is
    4

    Common factors: 1, 2, 4

    4 divides all three: 8 ÷ 4 = 2, 12 ÷ 4 = 3, 16 ÷ 4 = 4 — and 2, 3 and 4 have no factor but 1 common to all of them, so no larger number divides all three.

    8 = 23

    12 = 22 × 3

    16 = 24

    Prime81216Lowest power
    223222422
    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/8--12--16Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/8--12--16">What is the GCF of 8, 12 and 16? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 8, 12 and 16? The GCF of 8, 12 and 16 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/8--12--16/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    18121
    28122
    38121
    48124
    58121
    68122
    78121
    88124
    89121
    810122
    811121
    812124
    812131
    812142
    812151
    812164
    812171
    812182
    812191
    812204
    812211
    812222
    812231
    812244
    812251
    812262
    812271
    812284
    812291
    812302

    FAQ

    What's the Greatest Common Factor (GCF) of 8, 12 and 16?

    GCF of 8, 12 and 16 is 4

    What prime factors do 8, 12 and 16 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 8, 12 and 16 two numbers at a time?

    Yes. The GCF of 8 and 12 is 4, and the GCF of 4 and 16 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 8 : 12 : 16?

    Divide every term by the GCF 4: 8 ÷ 4 = 2, 12 ÷ 4 = 3 and 16 ÷ 4 = 4. So 8 : 12 : 16 in lowest terms is 2 : 3 : 4, and no whole number other than 1 divides all three of those.

    See Also