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    GCF for 16, 60 and 100

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

    What's the Greatest Common Factor (GCF) of 16, 60 and 100?

    Answer

    GCF of 16, 60 and 100 is
    4

    Common factors: 1, 2, 4

    4 divides all three: 16 ÷ 4 = 4, 60 ÷ 4 = 15, 100 ÷ 4 = 25 — and 4, 15 and 25 have no factor but 1 common to all of them, so no larger number divides all three.

    16 = 24

    60 = 22 × 3 × 5

    100 = 22 × 52

    Prime1660100Lowest power
    224222222
    3—3——
    5—552—

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

    GCF = 22 = 4

    See Also

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/16--60--100Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/16--60--100">What is the GCF of 16, 60 and 100? - Calculatio</a>Copy
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    What is the GCF of 16, 60 and 100? The GCF of 16, 60 and 100 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/16--60--100/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1660851
    1660862
    1660871
    1660884
    1660891
    1660902
    1660911
    1660924
    1660931
    1660942
    1660951
    1660964
    1660971
    1660982
    1660991
    16601004
    16601011
    16601022
    16601031
    16601044
    16601051
    16601062
    16601071
    16601084
    16601091
    16601102
    16601111
    16601124
    16601131
    16601142

    FAQ

    What's the Greatest Common Factor (GCF) of 16, 60 and 100?

    GCF of 16, 60 and 100 is 4

    What prime factors do 16, 60 and 100 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 16, 60 and 100 two numbers at a time?

    Yes. The GCF of 16 and 60 is 4, and the GCF of 4 and 100 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 16 : 60 : 100?

    Divide every term by the GCF 4: 16 ÷ 4 = 4, 60 ÷ 4 = 15 and 100 ÷ 4 = 25. So 16 : 60 : 100 in lowest terms is 4 : 15 : 25, and no whole number other than 1 divides all three of those.