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    GCF (HCF) of 84 and 108

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 84 and 108?

    Answer

    GCF (HCF) of 84 and 108 is
    12

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

    12 divides both: 84 ÷ 12 = 7, 108 ÷ 12 = 9 — and 7 and 9 share no factor but 1, so no larger number divides both.

    84 = 22 × 3 × 7

    108 = 22 × 33

    Prime84108Lowest power
    2222222
    33333
    77——

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

    GCF = 22 × 3 = 12

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    What is the GCF (HCF) of 84 and 108. The GCF of 84 and 108 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
    84933
    84942
    84951
    849612
    84971
    849814
    84993
    841004
    841011
    841026
    841031
    841044
    8410521
    841062
    841071
    8410812
    841091
    841102
    841113
    8411228
    841131
    841146
    841151
    841164
    841173
    841182
    841197
    8412012
    841211
    841222

    FAQ

    What is the Greatest Common Divisor of 84 and 108?

    GCF (HCF) of 84 and 108 is 12

    How to find the GCF of 84 and 108?

    You can find the GCF of 84 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 108 is 12.

    What prime factors do 84 and 108 share?

    The prime factorizations of 84 and 108 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 84/108?

    Divide the numerator and the denominator by the GCF 12: 84 ÷ 12 = 7 and 108 ÷ 12 = 9. So 84/108 in lowest terms is 7/9.

    See Also