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    GCF (HCF) of 264 and 300

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 264 and 300?

    Answer

    GCF (HCF) of 264 and 300 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides both: 264 ÷ 12 = 22, 300 ÷ 12 = 25 — and 22 and 25 share no factor but 1, so no larger number divides both.

    264 = 23 × 3 × 11

    300 = 22 × 3 × 52

    Prime264300Lowest power
    2232222
    3333
    5—52—
    1111——

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

    GCF = 22 × 3 = 12

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    What is the GCF (HCF) of 264 and 300. The GCF of 264 and 300 is 12 — 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
    2642853
    26428622
    2642871
    26428824
    2642891
    2642902
    2642913
    2642924
    2642931
    2642946
    2642951
    2642968
    26429733
    2642982
    2642991
    26430012
    2643011
    2643022
    2643033
    2643048
    2643051
    2643066
    2643071
    26430844
    2643093
    2643102
    2643111
    26431224
    2643131
    2643142

    FAQ

    What is the Greatest Common Divisor of 264 and 300?

    GCF (HCF) of 264 and 300 is 12

    How to find the GCF of 264 and 300?

    You can find the GCF of 264 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 264 and 300 is 12.

    What prime factors do 264 and 300 share?

    The prime factorizations of 264 and 300 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 264/300?

    Divide the numerator and the denominator by the GCF 12: 264 ÷ 12 = 22 and 300 ÷ 12 = 25. So 264/300 in lowest terms is 22/25.

    See Also