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 9231, 9238 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9231 and 9238 is 1.
GCF(9231,9238) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9238
2 | 9238 |
31 | 4619 |
149 | 149 |
1 |
Prime factors of 9238 are 2,31,149. Prime factorization of 9238 in exponential form is:
9238 = 21×311×1491
∴ So by taking common prime factors GCF of 9231 and 9238 is 1
Factors of 9231
List of positive integer factors of 9231 that divides 9231 without a remainder.
1,3,17,51,181,543,3077,9231
Factors of 9238
List of positive integer factors of 9238 that divides 9238 without a remainder.
1,2,31,62,149,298,4619,9238
Greatest Common Factor
We found the factors and prime factorization of 9231 and 9238. The biggest common factor number is the GCF number.
So the greatest common factor 9231 and 9238 is 1.
Also check out the Least Common Multiple of 9231 and 9238
(i) The GCF of 9231 and 9238 is associative
GCF of 9231 and 9238 = GCF of 9238 and 9231
1. What is the GCF of 9231 and 9238?
Answer: GCF of 9231 and 9238 is 1.
2. 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.
3. What are the Factors of 9238?
Answer: Factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238. There are 8 integers that are factors of 9238. The greatest factor of 9238 is 9238.
4. How to Find the GCF of 9231 and 9238?
Answer:
Greatest Common Factor of 9231 and 9238 = 1
Step 1: Find the prime factorization of 9231
9231 = 3 x 17 x 181
Step 2: Find the prime factorization of 9238
9238 = 2 x 31 x 149
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 9231 and 9238 is 1