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    GCF (HCF) of 72 and 99

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 72 and 99?

    Answer

    GCF (HCF) of 72 and 99 is
    9

    Common factors: 1, 3, 9

    9 divides both: 72 ÷ 9 = 8, 99 ÷ 9 = 11 — and 8 and 11 share no factor but 1, so no larger number divides both.

    72 = 23 × 32

    99 = 32 × 11

    Prime7299Lowest power
    223——
    3323232
    11—11—

    — = 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 99. The GCF of 72 and 99 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
    728412
    72851
    72862
    72873
    72888
    72891
    729018
    72911
    72924
    72933
    72942
    72951
    729624
    72971
    72982
    72999
    721004
    721011
    721026
    721031
    721048
    721053
    721062
    721071
    7210836
    721091
    721102
    721113
    721128
    721131

    FAQ

    What is the Greatest Common Divisor of 72 and 99?

    GCF (HCF) of 72 and 99 is 9

    How to find the GCF of 72 and 99?

    You can find the GCF of 72 and 99 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 99 is 9.

    What prime factors do 72 and 99 share?

    The prime factorizations of 72 and 99 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

    How does the GCF reduce the fraction 72/99?

    Divide the numerator and the denominator by the GCF 9: 72 ÷ 9 = 8 and 99 ÷ 9 = 11. So 72/99 in lowest terms is 8/11.

    See Also