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 28, 42 and 70

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

    What's the Greatest Common Factor (GCF) of 28, 42 and 70?

    Answer

    GCF of 28, 42 and 70 is
    14

    Common factors: 1, 2, 7, 14

    14 divides all three: 28 ÷ 14 = 2, 42 ÷ 14 = 3, 70 ÷ 14 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

    28 = 22 × 7

    42 = 2 × 3 × 7

    70 = 2 × 5 × 7

    Prime284270Lowest power
    222222
    3—3——
    5——5—
    77777

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

    GCF = 2 × 7 = 14

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/28--42--70Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/28--42--70">What is the GCF of 28, 42 and 70? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 28, 42 and 70? The GCF of 28, 42 and 70 is 14 — 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/28--42--70/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    2842551
    28425614
    2842571
    2842582
    2842591
    2842602
    2842611
    2842622
    2842637
    2842642
    2842651
    2842662
    2842671
    2842682
    2842691
    28427014
    2842711
    2842722
    2842731
    2842742
    2842751
    2842762
    2842777
    2842782
    2842791
    2842802
    2842811
    2842822
    2842831
    28428414

    FAQ

    What's the Greatest Common Factor (GCF) of 28, 42 and 70?

    GCF of 28, 42 and 70 is 14

    What prime factors do 28, 42 and 70 share?

    All three factorizations contain 2 × 7, and multiplying those shared primes gives 14 — exactly the greatest common factor.

    Can you get the GCF of 28, 42 and 70 two numbers at a time?

    Yes. The GCF of 28 and 42 is 14, and the GCF of 14 and 70 is 14 — 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 28 : 42 : 70?

    Divide every term by the GCF 14: 28 ÷ 14 = 2, 42 ÷ 14 = 3 and 70 ÷ 14 = 5. So 28 : 42 : 70 in lowest terms is 2 : 3 : 5, and no whole number other than 1 divides all three of those.