GCF (HCF) of 680 and 612

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What is the Greatest Common Divisor of 680 and 612?

Answer

GCF (HCF) of 680 and 612 is
68

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

68 divides both: 680 ÷ 68 = 10, 612 ÷ 68 = 9 — and 10 and 9 share no factor but 1, so no larger number divides both.

680 = 23 × 5 × 17

612 = 22 × 32 × 17

Prime680612Lowest power
2232222
3—32—
55——
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
6805971
6805982
6805991
68060040
6806011
6806022
6806031
6806044
6806055
6806062
6806071
6806088
6806091
68061010
6806111
68061268
6806131
6806142
6806155
6806168
6806171
6806182
6806191
68062020
6806211
6806222
6806231
6806248
6806255
6806262

FAQ

What is the Greatest Common Divisor of 680 and 612?

GCF (HCF) of 680 and 612 is 68

How to find the GCF of 680 and 612?

You can find the GCF of 680 and 612 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 680 and 612 is 68.

What prime factors do 680 and 612 share?

The prime factorizations of 680 and 612 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 680/612?

Divide the numerator and the denominator by the GCF 68: 680 ÷ 68 = 10 and 612 ÷ 68 = 9. So 680/612 in lowest terms is 10/9.

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