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 8686, 8692 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8686 and 8692 is 2.
GCF(8686,8692) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8686
2 | 8686 |
43 | 4343 |
101 | 101 |
1 |
Prime factors of 8686 are 2,43,101. Prime factorization of 8686 in exponential form is:
8686 = 21×431×1011
Prime Factorization of 8692
2 | 8692 |
2 | 4346 |
41 | 2173 |
53 | 53 |
1 |
Prime factors of 8692 are 2,41,53. Prime factorization of 8692 in exponential form is:
8692 = 22×411×531
∴ So by taking common prime factors GCF of 8686 and 8692 is 2
Factors of 8686
List of positive integer factors of 8686 that divides 8686 without a remainder.
1,2,43,86,101,202,4343,8686
Factors of 8692
List of positive integer factors of 8692 that divides 8692 without a remainder.
1,2,4,41,53,82,106,164,212,2173,4346,8692
Greatest Common Factor
We found the factors and prime factorization of 8686 and 8692. The biggest common factor number is the GCF number.
So the greatest common factor 8686 and 8692 is 2.
Also check out the Least Common Multiple of 8686 and 8692
(i) The GCF of 8686 and 8692 is associative
GCF of 8686 and 8692 = GCF of 8692 and 8686
1. What is the GCF of 8686 and 8692?
Answer: GCF of 8686 and 8692 is 2.
2. What are the Factors of 8686?
Answer: Factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686. There are 8 integers that are factors of 8686. The greatest factor of 8686 is 8686.
3. What are the Factors of 8692?
Answer: Factors of 8692 are 1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692. There are 12 integers that are factors of 8692. The greatest factor of 8692 is 8692.
4. How to Find the GCF of 8686 and 8692?
Answer:
Greatest Common Factor of 8686 and 8692 = 2
Step 1: Find the prime factorization of 8686
8686 = 2 x 43 x 101
Step 2: Find the prime factorization of 8692
8692 = 2 x 2 x 41 x 53
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 8686 and 8692 is 2