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 8684, 8686 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8684 and 8686 is 2.
GCF(8684,8686) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8684
2 | 8684 |
2 | 4342 |
13 | 2171 |
167 | 167 |
1 |
Prime factors of 8684 are 2,13,167. Prime factorization of 8684 in exponential form is:
8684 = 22×131×1671
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
∴ So by taking common prime factors GCF of 8684 and 8686 is 2
Factors of 8684
List of positive integer factors of 8684 that divides 8684 without a remainder.
1,2,4,13,26,52,167,334,668,2171,4342,8684
Factors of 8686
List of positive integer factors of 8686 that divides 8686 without a remainder.
1,2,43,86,101,202,4343,8686
Greatest Common Factor
We found the factors and prime factorization of 8684 and 8686. The biggest common factor number is the GCF number.
So the greatest common factor 8684 and 8686 is 2.
Also check out the Least Common Multiple of 8684 and 8686
(i) The GCF of 8684 and 8686 is associative
GCF of 8684 and 8686 = GCF of 8686 and 8684
1. What is the GCF of 8684 and 8686?
Answer: GCF of 8684 and 8686 is 2.
2. What are the Factors of 8684?
Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.
3. 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.
4. How to Find the GCF of 8684 and 8686?
Answer:
Greatest Common Factor of 8684 and 8686 = 2
Step 1: Find the prime factorization of 8684
8684 = 2 x 2 x 13 x 167
Step 2: Find the prime factorization of 8686
8686 = 2 x 43 x 101
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 8684 and 8686 is 2