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 8326, 8331 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8326 and 8331 is 1.
GCF(8326,8331) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8331
3 | 8331 |
2777 | 2777 |
1 |
Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:
8331 = 31×27771
∴ So by taking common prime factors GCF of 8326 and 8331 is 1
Factors of 8326
List of positive integer factors of 8326 that divides 8326 without a remainder.
1,2,23,46,181,362,4163,8326
Factors of 8331
List of positive integer factors of 8331 that divides 8331 without a remainder.
1,3,2777,8331
Greatest Common Factor
We found the factors and prime factorization of 8326 and 8331. The biggest common factor number is the GCF number.
So the greatest common factor 8326 and 8331 is 1.
Also check out the Least Common Multiple of 8326 and 8331
(i) The GCF of 8326 and 8331 is associative
GCF of 8326 and 8331 = GCF of 8331 and 8326
1. What is the GCF of 8326 and 8331?
Answer: GCF of 8326 and 8331 is 1.
2. 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.
3. What are the Factors of 8331?
Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.
4. How to Find the GCF of 8326 and 8331?
Answer:
Greatest Common Factor of 8326 and 8331 = 1
Step 1: Find the prime factorization of 8326
8326 = 2 x 23 x 181
Step 2: Find the prime factorization of 8331
8331 = 3 x 2777
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 8326 and 8331 is 1