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    GCF (HCF) of 30 and 405

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 30 and 405?

    Answer

    GCF (HCF) of 30 and 405 is
    15

    Common factors: 1, 3, 5, 15

    15 divides both: 30 ÷ 15 = 2, 405 ÷ 15 = 27 — and 2 and 27 share no factor but 1, so no larger number divides both.

    30 = 2 × 3 × 5

    405 = 34 × 5

    Prime30405Lowest power
    22——
    33343
    5555

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

    GCF = 3 × 5 = 15

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    What is the GCF (HCF) of 30 and 405. The GCF of 30 and 405 is 15 — 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
    306030
    307010
    307515
    308010
    30966
    3010010
    3010515
    3011010
    301155
    3012030
    3013010
    3013515
    3015030
    3017010
    3019515
    302355
    302382
    3029010
    303055
    3033030
    3034010
    3035010
    3040515
    304155
    3043515
    3044010
    3047010
    3048030
    304855
    3049515

    FAQ

    What is the Greatest Common Divisor of 30 and 405?

    GCF (HCF) of 30 and 405 is 15

    How to find the GCF of 30 and 405?

    You can find the GCF of 30 and 405 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 405 is 15.

    What prime factors do 30 and 405 share?

    The prime factorizations of 30 and 405 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

    How does the GCF reduce the fraction 30/405?

    Divide the numerator and the denominator by the GCF 15: 30 ÷ 15 = 2 and 405 ÷ 15 = 27. So 30/405 in lowest terms is 2/27.

    See Also