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 9226, 9231 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9226 and 9231 is 1.
GCF(9226,9231) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9226
2 | 9226 |
7 | 4613 |
659 | 659 |
1 |
Prime factors of 9226 are 2,7,659. Prime factorization of 9226 in exponential form is:
9226 = 21×71×6591
Prime Factorization of 9231
3 | 9231 |
17 | 3077 |
181 | 181 |
1 |
Prime factors of 9231 are 3,17,181. Prime factorization of 9231 in exponential form is:
9231 = 31×171×1811
∴ So by taking common prime factors GCF of 9226 and 9231 is 1
Factors of 9226
List of positive integer factors of 9226 that divides 9226 without a remainder.
1,2,7,14,659,1318,4613,9226
Factors of 9231
List of positive integer factors of 9231 that divides 9231 without a remainder.
1,3,17,51,181,543,3077,9231
Greatest Common Factor
We found the factors and prime factorization of 9226 and 9231. The biggest common factor number is the GCF number.
So the greatest common factor 9226 and 9231 is 1.
Also check out the Least Common Multiple of 9226 and 9231
(i) The GCF of 9226 and 9231 is associative
GCF of 9226 and 9231 = GCF of 9231 and 9226
1. What is the GCF of 9226 and 9231?
Answer: GCF of 9226 and 9231 is 1.
2. What are the Factors of 9226?
Answer: Factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226. There are 8 integers that are factors of 9226. The greatest factor of 9226 is 9226.
3. What are the Factors of 9231?
Answer: Factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231. There are 8 integers that are factors of 9231. The greatest factor of 9231 is 9231.
4. How to Find the GCF of 9226 and 9231?
Answer:
Greatest Common Factor of 9226 and 9231 = 1
Step 1: Find the prime factorization of 9226
9226 = 2 x 7 x 659
Step 2: Find the prime factorization of 9231
9231 = 3 x 17 x 181
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 9226 and 9231 is 1