GCF for 6, 7 and 12

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

What's the Greatest Common Factor (GCF) of 6, 7 and 12?

Answer

GCF of 6, 7 and 12 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 6, 7 and 12.

Pairs do share factors — GCF(6, 12) = 6 — just none greater than 1 common to all three.

6 = 2 × 3

7 — prime

12 = 22 × 3

Prime6712Lowest power
22—22—
33—3—
7—7——

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

GCF = 1

More with these numbers

Related Calculations

See Also

GCF Table

1st2nd3rdGCF
1671
2671
3671
4671
5671
6671
6771
6781
6791
67101
67111
67121
67131
67141
67151
67161
67171
67181
67191
67201
67211
67221
67231
67241
67251
67261
67271
67281
67291
67301

FAQ

What's the Greatest Common Factor (GCF) of 6, 7 and 12?

GCF of 6, 7 and 12 is 1

What prime factors do 6, 7 and 12 share?

None at all: 6, 7 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 6, 7 and 12 two numbers at a time?

Yes. The GCF of 6 and 7 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 6 : 7 : 12?

Divide every term by the GCF 1: 6 ÷ 1 = 6, 7 ÷ 1 = 7 and 12 ÷ 1 = 12. So 6 : 7 : 12 in lowest terms is 6 : 7 : 12, and no whole number other than 1 divides all three of those.

See Also