GCF for 3, 8 and 9

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 3, 8 and 9?

Answer

GCF of 3, 8 and 9 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 3, 8 and 9.

Pairs do share factors — GCF(3, 9) = 3 — just none greater than 1 common to all three.

3 — prime

8 = 23

9 = 32

Prime389Lowest power
2—23——
33—32—

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

GCF = 1

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GCF Table

1st2nd3rdGCF
1381
2381
3381
3481
3581
3681
3781
3881
3891
38101
38111
38121
38131
38141
38151
38161
38171
38181
38191
38201
38211
38221
38231
38241
38251
38261
38271
38281
38291
38301

FAQ

What's the Greatest Common Factor (GCF) of 3, 8 and 9?

GCF of 3, 8 and 9 is 1

What prime factors do 3, 8 and 9 share?

None at all: 3, 8 and 9 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, 8 and 9 two numbers at a time?

Yes. The GCF of 3 and 8 is 1, and the GCF of 1 and 9 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 : 8 : 9?

Divide every term by the GCF 1: 3 ÷ 1 = 3, 8 ÷ 1 = 8 and 9 ÷ 1 = 9. So 3 : 8 : 9 in lowest terms is 3 : 8 : 9, and no whole number other than 1 divides all three of those.

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