Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2686, 2694 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2686 and 2694 is 2.
GCF(2686,2694) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2686
2 | 2686 |
17 | 1343 |
79 | 79 |
1 |
Prime factors of 2686 are 2,17,79. Prime factorization of 2686 in exponential form is:
2686 = 21×171×791
Prime Factorization of 2694
2 | 2694 |
3 | 1347 |
449 | 449 |
1 |
Prime factors of 2694 are 2,3,449. Prime factorization of 2694 in exponential form is:
2694 = 21×31×4491
∴ So by taking common prime factors GCF of 2686 and 2694 is 2
Factors of 2686
List of positive integer factors of 2686 that divides 2686 without a remainder.
1,2,17,34,79,158,1343,2686
Factors of 2694
List of positive integer factors of 2694 that divides 2694 without a remainder.
1,2,3,6,449,898,1347,2694
Greatest Common Factor
We found the factors and prime factorization of 2686 and 2694. The biggest common factor number is the GCF number.
So the greatest common factor 2686 and 2694 is 2.
Also check out the Least Common Multiple of 2686 and 2694
(i) The GCF of 2686 and 2694 is associative
GCF of 2686 and 2694 = GCF of 2694 and 2686
1. What is the GCF of 2686 and 2694?
Answer: GCF of 2686 and 2694 is 2.
2. What are the Factors of 2686?
Answer: Factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686. There are 8 integers that are factors of 2686. The greatest factor of 2686 is 2686.
3. What are the Factors of 2694?
Answer: Factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694. There are 8 integers that are factors of 2694. The greatest factor of 2694 is 2694.
4. How to Find the GCF of 2686 and 2694?
Answer:
Greatest Common Factor of 2686 and 2694 = 2
Step 1: Find the prime factorization of 2686
2686 = 2 x 17 x 79
Step 2: Find the prime factorization of 2694
2694 = 2 x 3 x 449
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2686 and 2694 is 2