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, 2687 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2682 and 2687 is 1.
GCF(2682,2687) = 1
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 2687
2687 | 2687 |
1 |
Prime factors of 2687 are 2687. Prime factorization of 2687 in exponential form is:
2687 = 26871
∴ So by taking common prime factors GCF of 2682 and 2687 is 1
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 2687
List of positive integer factors of 2687 that divides 2687 without a remainder.
1,2687
Greatest Common Factor
We found the factors and prime factorization of 2682 and 2687. The biggest common factor number is the GCF number.
So the greatest common factor 2682 and 2687 is 1.
Also check out the Least Common Multiple of 2682 and 2687
(i) The GCF of 2682 and 2687 is associative
GCF of 2682 and 2687 = GCF of 2687 and 2682
1. What is the GCF of 2682 and 2687?
Answer: GCF of 2682 and 2687 is 1.
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 2687?
Answer: Factors of 2687 are 1, 2687. There are 2 integers that are factors of 2687. The greatest factor of 2687 is 2687.
4. How to Find the GCF of 2682 and 2687?
Answer:
Greatest Common Factor of 2682 and 2687 = 1
Step 1: Find the prime factorization of 2682
2682 = 2 x 3 x 3 x 149
Step 2: Find the prime factorization of 2687
2687 = 2687
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 2682 and 2687 is 1