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 8675, 8682 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8675 and 8682 is 1.
GCF(8675,8682) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8675
5 | 8675 |
5 | 1735 |
347 | 347 |
1 |
Prime factors of 8675 are 5,347. Prime factorization of 8675 in exponential form is:
8675 = 52×3471
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
∴ So by taking common prime factors GCF of 8675 and 8682 is 1
Factors of 8675
List of positive integer factors of 8675 that divides 8675 without a remainder.
1,5,25,347,1735,8675
Factors of 8682
List of positive integer factors of 8682 that divides 8682 without a remainder.
1,2,3,6,1447,2894,4341,8682
Greatest Common Factor
We found the factors and prime factorization of 8675 and 8682. The biggest common factor number is the GCF number.
So the greatest common factor 8675 and 8682 is 1.
Also check out the Least Common Multiple of 8675 and 8682
(i) The GCF of 8675 and 8682 is associative
GCF of 8675 and 8682 = GCF of 8682 and 8675
1. What is the GCF of 8675 and 8682?
Answer: GCF of 8675 and 8682 is 1.
2. What are the Factors of 8675?
Answer: Factors of 8675 are 1, 5, 25, 347, 1735, 8675. There are 6 integers that are factors of 8675. The greatest factor of 8675 is 8675.
3. 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.
4. How to Find the GCF of 8675 and 8682?
Answer:
Greatest Common Factor of 8675 and 8682 = 1
Step 1: Find the prime factorization of 8675
8675 = 5 x 5 x 347
Step 2: Find the prime factorization of 8682
8682 = 2 x 3 x 1447
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 8675 and 8682 is 1