GCF (HCF) of 136 and 204

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What is the Greatest Common Divisor of 136 and 204?

Answer

GCF (HCF) of 136 and 204 is
68

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

68 divides both: 136 ÷ 68 = 2, 204 ÷ 68 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

136 = 23 × 17

204 = 22 × 3 × 17

Prime136204Lowest power
2232222
3—3—
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
1361891
1361902
1361911
1361928
1361931
1361942
1361951
1361964
1361971
1361982
1361991
1362008
1362011
1362022
1362031
13620468
1362051
1362062
1362071
1362088
1362091
1362102
1362111
1362124
1362131
1362142
1362151
1362168
1362171
1362182

FAQ

What is the Greatest Common Divisor of 136 and 204?

GCF (HCF) of 136 and 204 is 68

How to find the GCF of 136 and 204?

You can find the GCF of 136 and 204 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 136 and 204 is 68.

What prime factors do 136 and 204 share?

The prime factorizations of 136 and 204 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 136/204?

Divide the numerator and the denominator by the GCF 68: 136 ÷ 68 = 2 and 204 ÷ 68 = 3. So 136/204 in lowest terms is 2/3.

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