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    GCF (HCF) of 30 and 330

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 30 and 330?

    Answer

    GCF (HCF) of 30 and 330 is
    30

    Common factors: 1, 2, 3, 5, 6, 10, 15, 30

    30 divides 330 (330 ÷ 30 = 11), so the GCF is the smaller number itself.

    30 = 2 × 3 × 5

    330 = 2 × 3 × 5 × 11

    Prime30330Lowest power
    2222
    3333
    5555
    11—11—

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

    GCF = 2 × 3 × 5 = 30

    More with these numbers

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    What is the GCF (HCF) of 30 and 330. The GCF of 30 and 330 is 30 — 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
    3010515
    3011010
    301155
    3012030
    3013010
    3013515
    3015030
    3016515
    3017010
    3018030
    3019515
    3021030
    302355
    302382
    3029010
    303055
    3033030
    3034010
    3035010
    3036030
    3037515
    3040515
    304155
    3043515
    3044010
    304455
    3047010
    3048030
    304855
    3049515

    FAQ

    What is the Greatest Common Divisor of 30 and 330?

    GCF (HCF) of 30 and 330 is 30

    How to find the GCF of 30 and 330?

    You can find the GCF of 30 and 330 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 330 is 30.

    What prime factors do 30 and 330 share?

    The prime factorizations of 30 and 330 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

    How does the GCF reduce the fraction 30/330?

    Divide the numerator and the denominator by the GCF 30: 30 ÷ 30 = 1 and 330 ÷ 30 = 11. So 30/330 in lowest terms is 1/11.

    See Also