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    GCF (HCF) of 72 and 81

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 72 and 81?

    Answer

    GCF (HCF) of 72 and 81 is
    9

    Common factors: 1, 3, 9

    9 divides both: 72 ÷ 9 = 8, 81 ÷ 9 = 9 — and 8 and 9 share no factor but 1, so no larger number divides both.

    72 = 23 × 32

    81 = 34

    Prime7281Lowest power
    223——
    3323432

    — = 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 72 and 81. The GCF of 72 and 81 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
    72666
    72671
    72684
    72693
    72702
    72711
    727272
    72731
    72742
    72753
    72764
    72771
    72786
    72791
    72808
    72819
    72822
    72831
    728412
    72851
    72862
    72873
    72888
    72891
    729018
    72911
    72924
    72933
    72942
    72951

    FAQ

    What is the Greatest Common Divisor of 72 and 81?

    GCF (HCF) of 72 and 81 is 9

    How to find the GCF of 72 and 81?

    You can find the GCF of 72 and 81 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 81 is 9.

    What prime factors do 72 and 81 share?

    The prime factorizations of 72 and 81 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

    How does the GCF reduce the fraction 72/81?

    Divide the numerator and the denominator by the GCF 9: 72 ÷ 9 = 8 and 81 ÷ 9 = 9. So 72/81 in lowest terms is 8/9.

    See Also