GCF for 2, 5 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 2, 5 and 12?

Answer

GCF of 2, 5 and 12 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 2, 5 and 12.

Pairs do share factors — GCF(2, 12) = 2 — just none greater than 1 common to all three.

2 — prime

5 — prime

12 = 22 × 3

Prime2512Lowest power
22—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
1251
2251
2351
2451
2551
2561
2571
2581
2591
25101
25111
25121
25131
25141
25151
25161
25171
25181
25191
25201
25211
25221
25231
25241
25251
25261
25271
25281
25291
25301

FAQ

What's the Greatest Common Factor (GCF) of 2, 5 and 12?

GCF of 2, 5 and 12 is 1

What prime factors do 2, 5 and 12 share?

None at all: 2, 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 2, 5 and 12 two numbers at a time?

Yes. The GCF of 2 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 2 : 5 : 12?

Divide every term by the GCF 1: 2 ÷ 1 = 2, 5 ÷ 1 = 5 and 12 ÷ 1 = 12. So 2 : 5 : 12 in lowest terms is 2 : 5 : 12, and no whole number other than 1 divides all three of those.

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