GCF (HCF) of 204 and 340

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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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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.

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