GCF for 5, 8 and 12

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 5, 8 and 12?

Answer

GCF of 5, 8 and 12 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 5, 8 and 12.

Pairs do share factors — GCF(8, 12) = 4 — just none greater than 1 common to all three.

5 — prime

8 = 23

12 = 22 × 3

Prime5812Lowest power
2—2322—
3——3—
55———

— = 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
1581
2581
3581
4581
5581
5681
5781
5881
5891
58101
58111
58121
58131
58141
58151
58161
58171
58181
58191
58201
58211
58221
58231
58241
58251
58261
58271
58281
58291
58301

FAQ

What's the Greatest Common Factor (GCF) of 5, 8 and 12?

GCF of 5, 8 and 12 is 1

What prime factors do 5, 8 and 12 share?

None at all: 5, 8 and 12 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 5, 8 and 12 two numbers at a time?

Yes. The GCF of 5 and 8 is 1, and the GCF of 1 and 12 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 5 : 8 : 12?

Divide every term by the GCF 1: 5 ÷ 1 = 5, 8 ÷ 1 = 8 and 12 ÷ 1 = 12. So 5 : 8 : 12 in lowest terms is 5 : 8 : 12, and no whole number other than 1 divides all three of those.

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