GCF for 12, 24 and 36

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 12, 24 and 36?

Answer

GCF of 12, 24 and 36 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides all three: 12 ÷ 12 = 1, 24 ÷ 12 = 2, 36 ÷ 12 = 3 — and 1, 2 and 3 have no factor but 1 common to all of them, so no larger number divides all three.

12 = 22 × 3

24 = 23 × 3

36 = 22 × 32

Prime122436Lowest power
222232222
333323

GCF = 22 × 3 = 12

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GCF Table

1st2nd3rdGCF
1221243
1222242
1223241
12242412
1224251
1224262
1224273
1224284
1224291
1224306
1224311
1224324
1224333
1224342
1224351
12243612
1224371
1224382
1224393
1224404
1224411
1224426
1224431
1224444
1224453
1224462
1224471
12244812
1224491
1224502

FAQ

What's the Greatest Common Factor (GCF) of 12, 24 and 36?

GCF of 12, 24 and 36 is 12

What prime factors do 12, 24 and 36 share?

All three factorizations contain 2 × 2 × 3, and multiplying those shared primes gives 12 — exactly the greatest common factor.

Can you get the GCF of 12, 24 and 36 two numbers at a time?

Yes. The GCF of 12 and 24 is 12, and the GCF of 12 and 36 is 12 — 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 : 24 : 36?

Divide every term by the GCF 12: 12 ÷ 12 = 1, 24 ÷ 12 = 2 and 36 ÷ 12 = 3. So 12 : 24 : 36 in lowest terms is 1 : 2 : 3, and no whole number other than 1 divides all three of those.

See Also