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    GCF (HCF) of 64 and 96

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 64 and 96?

    Answer

    GCF (HCF) of 64 and 96 is
    32

    Common factors: 1, 2, 4, 8, 16, 32

    32 divides both: 64 ÷ 32 = 2, 96 ÷ 32 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    64 = 26

    96 = 25 × 3

    Prime6496Lowest power
    2262525
    3—3—

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

    GCF = 25 = 32

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    What is the GCF (HCF) of 64 and 96. The GCF of 64 and 96 is 32 — 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
    64811
    64822
    64831
    64844
    64851
    64862
    64871
    64888
    64891
    64902
    64911
    64924
    64931
    64942
    64951
    649632
    64971
    64982
    64991
    641004
    641011
    641022
    641031
    641048
    641051
    641062
    641071
    641084
    641091
    641102

    FAQ

    What is the Greatest Common Divisor of 64 and 96?

    GCF (HCF) of 64 and 96 is 32

    How to find the GCF of 64 and 96?

    You can find the GCF of 64 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 96 is 32.

    What prime factors do 64 and 96 share?

    The prime factorizations of 64 and 96 have 2 × 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 32 — exactly the greatest common factor.

    How does the GCF reduce the fraction 64/96?

    Divide the numerator and the denominator by the GCF 32: 64 ÷ 32 = 2 and 96 ÷ 32 = 3. So 64/96 in lowest terms is 2/3.

    See Also