GCF for 4, 12 and 15

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What's the Greatest Common Factor (GCF) of 4, 12 and 15?

Answer

GCF of 4, 12 and 15 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 4, 12 and 15.

Pairs do share factors — GCF(4, 12) = 4, GCF(12, 15) = 3 — just none greater than 1 common to all three.

4 = 22

12 = 22 × 3

15 = 3 × 5

Prime41215Lowest power
22222——
3—33—
5——5—

— = 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
14121
24122
34121
44124
45121
46122
47121
48124
49121
410122
411121
412124
412131
412142
412151
412164
412171
412182
412191
412204
412211
412222
412231
412244
412251
412262
412271
412284
412291
412302

FAQ

What's the Greatest Common Factor (GCF) of 4, 12 and 15?

GCF of 4, 12 and 15 is 1

What prime factors do 4, 12 and 15 share?

None at all: 4, 12 and 15 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 4, 12 and 15 two numbers at a time?

Yes. The GCF of 4 and 12 is 4, and the GCF of 4 and 15 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 4 : 12 : 15?

Divide every term by the GCF 1: 4 ÷ 1 = 4, 12 ÷ 1 = 12 and 15 ÷ 1 = 15. So 4 : 12 : 15 in lowest terms is 4 : 12 : 15, and no whole number other than 1 divides all three of those.

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