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GCF for 3, 6 and 8

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 3, 6 and 8?

Answer

GCF of 3, 6 and 8 is

1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 3, 6 and 8.

Pairs do share factors — GCF(3, 6) = 3, GCF(6, 8) = 2 — just none greater than 1 common to all three.

3 — prime

6 = 2 × 3

8 = 2³

Prime	3	6	8	Lowest power
2	—	2	2³	—
3	3	3	—	—

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

GCF = 1

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See Also

Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers

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What is the GCF of 3, 6 and 8? The GCF of 3, 6 and 8 is 1 — the largest number that divides all three with no remainder. Step-by-step solution for three numbers.

https://calculat.io/en/number/greatest-common-factor-of-3-numbers/3--6--8/generated.jpg

GCF Table

1st	2nd	3rd	GCF
1	3	6	1
2	3	6	1
3	3	6	3
3	4	6	1
3	5	6	1
3	6	6	3
3	6	7	1
3	6	8	1
3	6	9	3
3	6	10	1
3	6	11	1
3	6	12	3
3	6	13	1
3	6	14	1
3	6	15	3
3	6	16	1
3	6	17	1
3	6	18	3
3	6	19	1
3	6	20	1
3	6	21	3
3	6	22	1
3	6	23	1
3	6	24	3
3	6	25	1
3	6	26	1
3	6	27	3
3	6	28	1
3	6	29	1
3	6	30	3

FAQ

What's the Greatest Common Factor (GCF) of 3, 6 and 8?

GCF of 3, 6 and 8 is 1

What prime factors do 3, 6 and 8 share?

None at all: 3, 6 and 8 have no prime factor in common, so the only positive integer dividing all three is 1 and their GCF is 1.

Can you get the GCF of 3, 6 and 8 two numbers at a time?

Yes. The GCF of 3 and 6 is 3, and the GCF of 3 and 8 is 1 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

How does the GCF simplify the ratio 3 : 6 : 8?

Divide every term by the GCF 1: 3 ÷ 1 = 3, 6 ÷ 1 = 6 and 8 ÷ 1 = 8. So 3 : 6 : 8 in lowest terms is 3 : 6 : 8, and no whole number other than 1 divides all three of those.