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 2682, 2690 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2682 and 2690 is 2.
GCF(2682,2690) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2682
2 | 2682 |
3 | 1341 |
3 | 447 |
149 | 149 |
1 |
Prime factors of 2682 are 2,3,149. Prime factorization of 2682 in exponential form is:
2682 = 21×32×1491
Prime Factorization of 2690
2 | 2690 |
5 | 1345 |
269 | 269 |
1 |
Prime factors of 2690 are 2,5,269. Prime factorization of 2690 in exponential form is:
2690 = 21×51×2691
∴ So by taking common prime factors GCF of 2682 and 2690 is 2
Factors of 2682
List of positive integer factors of 2682 that divides 2682 without a remainder.
1,2,3,6,9,18,149,298,447,894,1341,2682
Factors of 2690
List of positive integer factors of 2690 that divides 2690 without a remainder.
1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors and prime factorization of 2682 and 2690. The biggest common factor number is the GCF number.
So the greatest common factor 2682 and 2690 is 2.
Also check out the Least Common Multiple of 2682 and 2690
(i) The GCF of 2682 and 2690 is associative
GCF of 2682 and 2690 = GCF of 2690 and 2682
1. What is the GCF of 2682 and 2690?
Answer: GCF of 2682 and 2690 is 2.
2. What are the Factors of 2682?
Answer: Factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682. There are 12 integers that are factors of 2682. The greatest factor of 2682 is 2682.
3. What are the Factors of 2690?
Answer: Factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690. There are 8 integers that are factors of 2690. The greatest factor of 2690 is 2690.
4. How to Find the GCF of 2682 and 2690?
Answer:
Greatest Common Factor of 2682 and 2690 = 2
Step 1: Find the prime factorization of 2682
2682 = 2 x 3 x 3 x 149
Step 2: Find the prime factorization of 2690
2690 = 2 x 5 x 269
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 2682 and 2690 is 2