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 8678, 8682 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8678 and 8682 is 2.
GCF(8678,8682) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8678
2 | 8678 |
4339 | 4339 |
1 |
Prime factors of 8678 are 2,4339. Prime factorization of 8678 in exponential form is:
8678 = 21×43391
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 8678 and 8682 is 2
Factors of 8678
List of positive integer factors of 8678 that divides 8678 without a remainder.
1,2,4339,8678
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 8678 and 8682. The biggest common factor number is the GCF number.
So the greatest common factor 8678 and 8682 is 2.
Also check out the Least Common Multiple of 8678 and 8682
(i) The GCF of 8678 and 8682 is associative
GCF of 8678 and 8682 = GCF of 8682 and 8678
1. What is the GCF of 8678 and 8682?
Answer: GCF of 8678 and 8682 is 2.
2. What are the Factors of 8678?
Answer: Factors of 8678 are 1, 2, 4339, 8678. There are 4 integers that are factors of 8678. The greatest factor of 8678 is 8678.
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 8678 and 8682?
Answer:
Greatest Common Factor of 8678 and 8682 = 2
Step 1: Find the prime factorization of 8678
8678 = 2 x 4339
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 = 2
Step 4: Therefore, the greatest common factor of 8678 and 8682 is 2