GCF for 4, 5 and 12

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 4, 5 and 12?

Answer

GCF of 4, 5 and 12 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 4, 5 and 12.

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

4 = 22

5 — prime

12 = 22 × 3

Prime4512Lowest power
222—22—
3——3—
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
1451
2451
3451
4451
4551
4561
4571
4581
4591
45101
45111
45121
45131
45141
45151
45161
45171
45181
45191
45201
45211
45221
45231
45241
45251
45261
45271
45281
45291
45301

FAQ

What's the Greatest Common Factor (GCF) of 4, 5 and 12?

GCF of 4, 5 and 12 is 1

What prime factors do 4, 5 and 12 share?

None at all: 4, 5 and 12 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, 5 and 12 two numbers at a time?

Yes. The GCF of 4 and 5 is 1, and the GCF of 1 and 12 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 : 5 : 12?

Divide every term by the GCF 1: 4 ÷ 1 = 4, 5 ÷ 1 = 5 and 12 ÷ 1 = 12. So 4 : 5 : 12 in lowest terms is 4 : 5 : 12, and no whole number other than 1 divides all three of those.

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