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    GCF (HCF) of 108 and 24

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 108 and 24?

    Answer

    GCF (HCF) of 108 and 24 is
    12

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

    12 divides both: 108 ÷ 12 = 9, 24 ÷ 12 = 2 — and 9 and 2 share no factor but 1, so no larger number divides both.

    108 = 22 × 33

    24 = 23 × 3

    Prime10824Lowest power
    2222322
    33333

    GCF = 22 × 3 = 12

    More with these numbers

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    What is the GCF (HCF) of 108 and 24. The GCF of 108 and 24 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
    10899
    108102
    108111
    1081212
    108131
    108142
    108153
    108164
    108171
    1081818
    108191
    108204
    108213
    108222
    108231
    1082412
    108251
    108262
    1082727
    108284
    108291
    108306
    108311
    108324
    108333
    108342
    108351
    1083636
    108371
    108382

    FAQ

    What is the Greatest Common Divisor of 108 and 24?

    GCF (HCF) of 108 and 24 is 12

    How to find the GCF of 108 and 24?

    You can find the GCF of 108 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 24 is 12.

    What prime factors do 108 and 24 share?

    The prime factorizations of 108 and 24 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 108/24?

    Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 24 ÷ 12 = 2. So 108/24 in lowest terms is 9/2.

    See Also