GCF for 2, 7 and 11
"Greatest Common Factor of 3 Numbers" Calculator
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
| Prime | 2 | 7 | 11 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | — | — | — |
| 7 | — | 7 | — | — |
| 11 | — | — | 11 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 1
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See Also
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
GCF Table
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.
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