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    GCF (HCF) of 6 and 33

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 6 and 33?

    Answer

    GCF (HCF) of 6 and 33 is
    3

    Common factors: 1, 3

    3 divides both: 6 ÷ 3 = 2, 33 ÷ 3 = 11 — and 2 and 11 share no factor but 1, so no larger number divides both.

    6 = 2 × 3

    33 = 3 × 11

    Prime633Lowest power
    22——
    3333
    11—11—

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

    GCF = 3

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    What is the GCF (HCF) of 6 and 33. The GCF of 6 and 33 is 3 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    FAQ

    What is the Greatest Common Divisor of 6 and 33?

    GCF (HCF) of 6 and 33 is 3

    How to find the GCF of 6 and 33?

    You can find the GCF of 6 and 33 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 33 is 3.

    What prime factors do 6 and 33 share?

    The prime factorizations of 6 and 33 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 6/33?

    Divide the numerator and the denominator by the GCF 3: 6 ÷ 3 = 2 and 33 ÷ 3 = 11. So 6/33 in lowest terms is 2/11.