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    GCF (HCF) of 81 and 117

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 81 and 117?

    Answer

    GCF (HCF) of 81 and 117 is
    9

    Common factors: 1, 3, 9

    9 divides both: 81 ÷ 9 = 9, 117 ÷ 9 = 13 — and 9 and 13 share no factor but 1, so no larger number divides both.

    81 = 34

    117 = 32 × 13

    Prime81117Lowest power
    3343232
    13—13—

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

    GCF = 32 = 9

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    What is the GCF (HCF) of 81 and 117. The GCF of 81 and 117 is 9 — 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
    811023
    811031
    811041
    811053
    811061
    811071
    8110827
    811091
    811101
    811113
    811121
    811131
    811143
    811151
    811161
    811179
    811181
    811191
    811203
    811211
    811221
    811233
    811241
    811251
    811269
    811271
    811281
    811293
    811301
    811311

    FAQ

    What is the Greatest Common Divisor of 81 and 117?

    GCF (HCF) of 81 and 117 is 9

    How to find the GCF of 81 and 117?

    You can find the GCF of 81 and 117 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 81 and 117 is 9.

    What prime factors do 81 and 117 share?

    The prime factorizations of 81 and 117 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

    How does the GCF reduce the fraction 81/117?

    Divide the numerator and the denominator by the GCF 9: 81 ÷ 9 = 9 and 117 ÷ 9 = 13. So 81/117 in lowest terms is 9/13.

    See Also