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    GCF (HCF) of 108 and 96

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 108 and 96?

    Answer

    GCF (HCF) of 108 and 96 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides both: 108 ÷ 12 = 9, 96 ÷ 12 = 8 — and 9 and 8 share no factor but 1, so no larger number divides both.

    108 = 22 × 33

    96 = 25 × 3

    Prime10896Lowest power
    2222522
    33333

    GCF = 22 × 3 = 12

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    What is the GCF (HCF) of 108 and 96. The GCF of 108 and 96 is 12 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    GCF Table

    Number 1Number 2GCF
    1088127
    108822
    108831
    1088412
    108851
    108862
    108873
    108884
    108891
    1089018
    108911
    108924
    108933
    108942
    108951
    1089612
    108971
    108982
    108999
    1081004
    1081011
    1081026
    1081031
    1081044
    1081053
    1081062
    1081071
    108108108
    1081091
    1081102

    FAQ

    What is the Greatest Common Divisor of 108 and 96?

    GCF (HCF) of 108 and 96 is 12

    How to find the GCF of 108 and 96?

    You can find the GCF of 108 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 96 is 12.

    What prime factors do 108 and 96 share?

    The prime factorizations of 108 and 96 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 108/96?

    Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 96 ÷ 12 = 8. So 108/96 in lowest terms is 9/8.

    See Also