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 2696, 2698 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2696 and 2698 is 2.
GCF(2696,2698) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2696
2 | 2696 |
2 | 1348 |
2 | 674 |
337 | 337 |
1 |
Prime factors of 2696 are 2,337. Prime factorization of 2696 in exponential form is:
2696 = 23×3371
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 2696 and 2698 is 2
Factors of 2696
List of positive integer factors of 2696 that divides 2696 without a remainder.
1,2,4,8,337,674,1348,2696
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 2696 and 2698. The biggest common factor number is the GCF number.
So the greatest common factor 2696 and 2698 is 2.
Also check out the Least Common Multiple of 2696 and 2698
(i) The GCF of 2696 and 2698 is associative
GCF of 2696 and 2698 = GCF of 2698 and 2696
1. What is the GCF of 2696 and 2698?
Answer: GCF of 2696 and 2698 is 2.
2. What are the Factors of 2696?
Answer: Factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696. There are 8 integers that are factors of 2696. The greatest factor of 2696 is 2696.
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 2696 and 2698?
Answer:
Greatest Common Factor of 2696 and 2698 = 2
Step 1: Find the prime factorization of 2696
2696 = 2 x 2 x 2 x 337
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 = 2
Step 4: Therefore, the greatest common factor of 2696 and 2698 is 2