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 8318, 8326 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8318 and 8326 is 2.
GCF(8318,8326) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8318
2 | 8318 |
4159 | 4159 |
1 |
Prime factors of 8318 are 2,4159. Prime factorization of 8318 in exponential form is:
8318 = 21×41591
Prime Factorization of 8326
2 | 8326 |
23 | 4163 |
181 | 181 |
1 |
Prime factors of 8326 are 2,23,181. Prime factorization of 8326 in exponential form is:
8326 = 21×231×1811
∴ So by taking common prime factors GCF of 8318 and 8326 is 2
Factors of 8318
List of positive integer factors of 8318 that divides 8318 without a remainder.
1,2,4159,8318
Factors of 8326
List of positive integer factors of 8326 that divides 8326 without a remainder.
1,2,23,46,181,362,4163,8326
Greatest Common Factor
We found the factors and prime factorization of 8318 and 8326. The biggest common factor number is the GCF number.
So the greatest common factor 8318 and 8326 is 2.
Also check out the Least Common Multiple of 8318 and 8326
(i) The GCF of 8318 and 8326 is associative
GCF of 8318 and 8326 = GCF of 8326 and 8318
1. What is the GCF of 8318 and 8326?
Answer: GCF of 8318 and 8326 is 2.
2. What are the Factors of 8318?
Answer: Factors of 8318 are 1, 2, 4159, 8318. There are 4 integers that are factors of 8318. The greatest factor of 8318 is 8318.
3. What are the Factors of 8326?
Answer: Factors of 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326. There are 8 integers that are factors of 8326. The greatest factor of 8326 is 8326.
4. How to Find the GCF of 8318 and 8326?
Answer:
Greatest Common Factor of 8318 and 8326 = 2
Step 1: Find the prime factorization of 8318
8318 = 2 x 4159
Step 2: Find the prime factorization of 8326
8326 = 2 x 23 x 181
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 8318 and 8326 is 2