GCF for 4, 8 and 12

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
and

What's the Greatest Common Factor (GCF) of 4, 8 and 12?

Answer

GCF of 4, 8 and 12 is
4

Common factors: 1, 2, 4

4 divides all three: 4 ÷ 4 = 1, 8 ÷ 4 = 2, 12 ÷ 4 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

4 = 22

8 = 23

12 = 22 × 3

Prime4812Lowest power
222232222
3——3—

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

GCF = 22 = 4

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GCF Table

1st2nd3rdGCF
1481
2482
3481
4484
4581
4682
4781
4884
4891
48102
48111
48124
48131
48142
48151
48164
48171
48182
48191
48204
48211
48222
48231
48244
48251
48262
48271
48284
48291
48302

FAQ

What's the Greatest Common Factor (GCF) of 4, 8 and 12?

GCF of 4, 8 and 12 is 4

What prime factors do 4, 8 and 12 share?

All three factorizations contain 2 × 2, and multiplying those shared primes gives 4 — exactly the greatest common factor.

Can you get the GCF of 4, 8 and 12 two numbers at a time?

Yes. The GCF of 4 and 8 is 4, and the GCF of 4 and 12 is 4 — 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 : 8 : 12?

Divide every term by the GCF 4: 4 ÷ 4 = 1, 8 ÷ 4 = 2 and 12 ÷ 4 = 3. So 4 : 8 : 12 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.

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