GCF for 4, 6 and 12

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
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What's the Greatest Common Factor (GCF) of 4, 6 and 12?

Answer

GCF of 4, 6 and 12 is
2

Common factors: 1, 2

2 divides all three: 4 ÷ 2 = 2, 6 ÷ 2 = 3, 12 ÷ 2 = 6 — and 2, 3 and 6 have no factor but 1 common to all of them, so no larger number divides all three.

4 = 22

6 = 2 × 3

12 = 22 × 3

Prime4612Lowest power
2222222
3—33—

— = 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
1461
2462
3461
4462
4561
4662
4671
4682
4691
46102
46111
46122
46131
46142
46151
46162
46171
46182
46191
46202
46211
46222
46231
46242
46251
46262
46271
46282
46291
46302

FAQ

What's the Greatest Common Factor (GCF) of 4, 6 and 12?

GCF of 4, 6 and 12 is 2

What prime factors do 4, 6 and 12 share?

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

Can you get the GCF of 4, 6 and 12 two numbers at a time?

Yes. The GCF of 4 and 6 is 2, and the GCF of 2 and 12 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 4 : 6 : 12?

Divide every term by the GCF 2: 4 ÷ 2 = 2, 6 ÷ 2 = 3 and 12 ÷ 2 = 6. So 4 : 6 : 12 in lowest terms is 2 : 3 : 6, and no whole number other than 1 divides all three of those.

See Also