GCF for 2, 7 and 11

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 2, 7 and 11?

Answer

GCF of 2, 7 and 11 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 2, 7 and 11.

The three numbers are pairwise coprime: no two of them share a factor other than 1.

2 — prime

7 — prime

11 — prime

Prime2711Lowest power
22———
7—7——
11——11—

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

GCF = 1

See Also

GCF Table

1st2nd3rdGCF
1271
2271
2371
2471
2571
2671
2771
2781
2791
27101
27111
27121
27131
27141
27151
27161
27171
27181
27191
27201
27211
27221
27231
27241
27251
27261
27271
27281
27291
27301

FAQ

What's the Greatest Common Factor (GCF) of 2, 7 and 11?

GCF of 2, 7 and 11 is 1

What prime factors do 2, 7 and 11 share?

None at all: 2, 7 and 11 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, 7 and 11 two numbers at a time?

Yes. The GCF of 2 and 7 is 1, and the GCF of 1 and 11 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 : 7 : 11?

Divide every term by the GCF 1: 2 ÷ 1 = 2, 7 ÷ 1 = 7 and 11 ÷ 1 = 11. So 2 : 7 : 11 in lowest terms is 2 : 7 : 11, and no whole number other than 1 divides all three of those.