GCF for 12, 16 and 18

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
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What's the Greatest Common Factor (GCF) of 12, 16 and 18?

Answer

GCF of 12, 16 and 18 is
2

Common factors: 1, 2

2 divides all three: 12 ÷ 2 = 6, 16 ÷ 2 = 8, 18 ÷ 2 = 9 — and 6, 8 and 9 have no factor but 1 common to all of them, so no larger number divides all three.

12 = 22 × 3

16 = 24

18 = 2 × 32

Prime121618Lowest power
2222422
33—32—

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

GCF = 2

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GCF Table

1st2nd3rdGCF
312161
412164
512161
612162
712161
812164
912161
1012162
1112161
1212164
1213161
1214162
1215161
1216164
1216171
1216182
1216191
1216204
1216211
1216222
1216231
1216244
1216251
1216262
1216271
1216284
1216291
1216302
1216311
1216324

FAQ

What's the Greatest Common Factor (GCF) of 12, 16 and 18?

GCF of 12, 16 and 18 is 2

What prime factors do 12, 16 and 18 share?

All three factorizations contain 2, and multiplying those shared primes gives 2 — exactly the greatest common factor.

Can you get the GCF of 12, 16 and 18 two numbers at a time?

Yes. The GCF of 12 and 16 is 4, and the GCF of 4 and 18 is 2 — 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 12 : 16 : 18?

Divide every term by the GCF 2: 12 ÷ 2 = 6, 16 ÷ 2 = 8 and 18 ÷ 2 = 9. So 12 : 16 : 18 in lowest terms is 6 : 8 : 9, and no whole number other than 1 divides all three of those.

See Also