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    GCF (HCF) of 40 and 260

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 40 and 260?

    Answer

    GCF (HCF) of 40 and 260 is
    20

    Common factors: 1, 2, 4, 5, 10, 20

    20 divides both: 40 ÷ 20 = 2, 260 ÷ 20 = 13 — and 2 and 13 share no factor but 1, so no larger number divides both.

    40 = 23 × 5

    260 = 22 × 5 × 13

    Prime40260Lowest power
    2232222
    5555
    13—13—

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

    GCF = 22 × 5 = 20

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    What is the GCF (HCF) of 40 and 260. The GCF of 40 and 260 is 20 — 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
    4011010
    4012040
    401255
    4013010
    401355
    401448
    401555
    4016040
    401655
    4018020
    4021010
    4022020
    4024040
    402455
    4025010
    4026020
    402655
    402755
    403055
    4031010
    403155
    4032040
    403255
    4033010
    403355
    4034020
    403455
    4035010
    403755
    4039010

    FAQ

    What is the Greatest Common Divisor of 40 and 260?

    GCF (HCF) of 40 and 260 is 20

    How to find the GCF of 40 and 260?

    You can find the GCF of 40 and 260 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 260 is 20.

    What prime factors do 40 and 260 share?

    The prime factorizations of 40 and 260 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

    How does the GCF reduce the fraction 40/260?

    Divide the numerator and the denominator by the GCF 20: 40 ÷ 20 = 2 and 260 ÷ 20 = 13. So 40/260 in lowest terms is 2/13.

    See Also