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    GCF (HCF) of 204 and 340

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 204 and 340?

    Answer

    GCF (HCF) of 204 and 340 is
    68

    Common factors: 1, 2, 4, 17, 34, 68

    68 divides both: 204 ÷ 68 = 3, 340 ÷ 68 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

    204 = 22 × 3 × 17

    340 = 22 × 5 × 17

    Prime204340Lowest power
    2222222
    33——
    5—5—
    17171717

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

    GCF = 22 × 17 = 68

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    What is the GCF (HCF) of 204 and 340. The GCF of 204 and 340 is 68 — 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
    2043251
    2043262
    2043273
    2043284
    2043291
    2043306
    2043311
    2043324
    2043333
    2043342
    2043351
    20433612
    2043371
    2043382
    2043393
    20434068
    2043411
    2043426
    2043431
    2043444
    2043453
    2043462
    2043471
    20434812
    2043491
    2043502
    2043513
    2043524
    2043531
    2043546

    FAQ

    What is the Greatest Common Divisor of 204 and 340?

    GCF (HCF) of 204 and 340 is 68

    How to find the GCF of 204 and 340?

    You can find the GCF of 204 and 340 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 204 and 340 is 68.

    What prime factors do 204 and 340 share?

    The prime factorizations of 204 and 340 have 2 × 2 × 17 in common, and multiplying those shared primes gives 68 — exactly the greatest common factor.

    How does the GCF reduce the fraction 204/340?

    Divide the numerator and the denominator by the GCF 68: 204 ÷ 68 = 3 and 340 ÷ 68 = 5. So 204/340 in lowest terms is 3/5.

    See Also