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    GCF (HCF) of 81 and 108

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 81 and 108?

    Answer

    GCF (HCF) of 81 and 108 is
    27

    Common factors: 1, 3, 9, 27

    27 divides both: 81 ÷ 27 = 3, 108 ÷ 27 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    81 = 34

    108 = 22 × 33

    Prime81108Lowest power
    2—22—
    3343333

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

    GCF = 33 = 27

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    What is the GCF (HCF) of 81 and 108. The GCF of 81 and 108 is 27 — 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
    81933
    81941
    81951
    81963
    81971
    81981
    81999
    811001
    811011
    811023
    811031
    811041
    811053
    811061
    811071
    8110827
    811091
    811101
    811113
    811121
    811131
    811143
    811151
    811161
    811179
    811181
    811191
    811203
    811211
    811221

    FAQ

    What is the Greatest Common Divisor of 81 and 108?

    GCF (HCF) of 81 and 108 is 27

    How to find the GCF of 81 and 108?

    You can find the GCF of 81 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 81 and 108 is 27.

    What prime factors do 81 and 108 share?

    The prime factorizations of 81 and 108 have 3 × 3 × 3 in common, and multiplying those shared primes gives 27 — exactly the greatest common factor.

    How does the GCF reduce the fraction 81/108?

    Divide the numerator and the denominator by the GCF 27: 81 ÷ 27 = 3 and 108 ÷ 27 = 4. So 81/108 in lowest terms is 3/4.

    See Also