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 2691, 2698 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2691 and 2698 is 1.
GCF(2691,2698) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2691
3 | 2691 |
3 | 897 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 2691 are 3,13,23. Prime factorization of 2691 in exponential form is:
2691 = 32×131×231
Prime Factorization of 2698
2 | 2698 |
19 | 1349 |
71 | 71 |
1 |
Prime factors of 2698 are 2,19,71. Prime factorization of 2698 in exponential form is:
2698 = 21×191×711
∴ So by taking common prime factors GCF of 2691 and 2698 is 1
Factors of 2691
List of positive integer factors of 2691 that divides 2691 without a remainder.
1,3,9,13,23,39,69,117,207,299,897,2691
Factors of 2698
List of positive integer factors of 2698 that divides 2698 without a remainder.
1,2,19,38,71,142,1349,2698
Greatest Common Factor
We found the factors and prime factorization of 2691 and 2698. The biggest common factor number is the GCF number.
So the greatest common factor 2691 and 2698 is 1.
Also check out the Least Common Multiple of 2691 and 2698
(i) The GCF of 2691 and 2698 is associative
GCF of 2691 and 2698 = GCF of 2698 and 2691
1. What is the GCF of 2691 and 2698?
Answer: GCF of 2691 and 2698 is 1.
2. What are the Factors of 2691?
Answer: Factors of 2691 are 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691. There are 12 integers that are factors of 2691. The greatest factor of 2691 is 2691.
3. What are the Factors of 2698?
Answer: Factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698. There are 8 integers that are factors of 2698. The greatest factor of 2698 is 2698.
4. How to Find the GCF of 2691 and 2698?
Answer:
Greatest Common Factor of 2691 and 2698 = 1
Step 1: Find the prime factorization of 2691
2691 = 3 x 3 x 13 x 23
Step 2: Find the prime factorization of 2698
2698 = 2 x 19 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2691 and 2698 is 1