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    GCF (HCF) of 30 and 40

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 30 and 40?

    Answer

    GCF (HCF) of 30 and 40 is
    10

    Common factors: 1, 2, 5, 10

    10 divides both: 30 ÷ 10 = 3, 40 ÷ 10 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    30 = 2 × 3 × 5

    40 = 23 × 5

    Prime3040Lowest power
    22232
    33——
    5555

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

    GCF = 2 × 5 = 10

    More with these numbers

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    What is the GCF (HCF) of 30 and 40. The GCF of 30 and 40 is 10 — 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
    30322
    30342
    30355
    30366
    30382
    30393
    304010
    30426
    30431
    30442
    304515
    30486
    30491
    305010
    30513
    30522
    30531
    30546
    30555
    30562
    30582
    306030
    307010
    307515
    308010
    30966
    3010010
    3010515
    3011010
    301155

    FAQ

    What is the Greatest Common Divisor of 30 and 40?

    GCF (HCF) of 30 and 40 is 10

    How to find the GCF of 30 and 40?

    You can find the GCF of 30 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 40 is 10.

    What prime factors do 30 and 40 share?

    The prime factorizations of 30 and 40 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

    How does the GCF reduce the fraction 30/40?

    Divide the numerator and the denominator by the GCF 10: 30 ÷ 10 = 3 and 40 ÷ 10 = 4. So 30/40 in lowest terms is 3/4.

    See Also