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    GCF for 30, 48 and 60

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

    What's the Greatest Common Factor (GCF) of 30, 48 and 60?

    Answer

    GCF of 30, 48 and 60 is
    6

    Common factors: 1, 2, 3, 6

    6 divides all three: 30 ÷ 6 = 5, 48 ÷ 6 = 8, 60 ÷ 6 = 10 — and 5, 8 and 10 have no factor but 1 common to all of them, so no larger number divides all three.

    30 = 2 × 3 × 5

    48 = 24 × 3

    60 = 22 × 3 × 5

    Prime304860Lowest power
    2224222
    33333
    55—5—

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

    GCF = 2 × 3 = 6

    More with these numbers

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/30--48--60Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/30--48--60">What is the GCF of 30, 48 and 60? - Calculatio</a>Copy
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    What is the GCF of 30, 48 and 60? The GCF of 30, 48 and 60 is 6 — 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/30--48--60/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    3045483
    3046482
    3047481
    3048486
    3048491
    3048502
    3048513
    3048522
    3048531
    3048546
    3048551
    3048562
    3048573
    3048582
    3048591
    3048606
    3048611
    3048622
    3048633
    3048642
    3048651
    3048666
    3048671
    3048682
    3048693
    3048702
    3048711
    3048726
    3048731
    3048742

    FAQ

    What's the Greatest Common Factor (GCF) of 30, 48 and 60?

    GCF of 30, 48 and 60 is 6

    What prime factors do 30, 48 and 60 share?

    All three factorizations contain 2 × 3, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    Can you get the GCF of 30, 48 and 60 two numbers at a time?

    Yes. The GCF of 30 and 48 is 6, and the GCF of 6 and 60 is 6 — 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 30 : 48 : 60?

    Divide every term by the GCF 6: 30 ÷ 6 = 5, 48 ÷ 6 = 8 and 60 ÷ 6 = 10. So 30 : 48 : 60 in lowest terms is 5 : 8 : 10, and no whole number other than 1 divides all three of those.

    See Also