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 8682, 8687 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8682 and 8687 is 1.
GCF(8682,8687) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8682
2 | 8682 |
3 | 4341 |
1447 | 1447 |
1 |
Prime factors of 8682 are 2,3,1447. Prime factorization of 8682 in exponential form is:
8682 = 21×31×14471
Prime Factorization of 8687
7 | 8687 |
17 | 1241 |
73 | 73 |
1 |
Prime factors of 8687 are 7,17,73. Prime factorization of 8687 in exponential form is:
8687 = 71×171×731
∴ So by taking common prime factors GCF of 8682 and 8687 is 1
Factors of 8682
List of positive integer factors of 8682 that divides 8682 without a remainder.
1,2,3,6,1447,2894,4341,8682
Factors of 8687
List of positive integer factors of 8687 that divides 8687 without a remainder.
1,7,17,73,119,511,1241,8687
Greatest Common Factor
We found the factors and prime factorization of 8682 and 8687. The biggest common factor number is the GCF number.
So the greatest common factor 8682 and 8687 is 1.
Also check out the Least Common Multiple of 8682 and 8687
(i) The GCF of 8682 and 8687 is associative
GCF of 8682 and 8687 = GCF of 8687 and 8682
1. What is the GCF of 8682 and 8687?
Answer: GCF of 8682 and 8687 is 1.
2. What are the Factors of 8682?
Answer: Factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682. There are 8 integers that are factors of 8682. The greatest factor of 8682 is 8682.
3. What are the Factors of 8687?
Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.
4. How to Find the GCF of 8682 and 8687?
Answer:
Greatest Common Factor of 8682 and 8687 = 1
Step 1: Find the prime factorization of 8682
8682 = 2 x 3 x 1447
Step 2: Find the prime factorization of 8687
8687 = 7 x 17 x 73
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 8682 and 8687 is 1