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 15231, 15234 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15231 and 15234 is 3.
GCF(15231,15234) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15231
3 | 15231 |
5077 | 5077 |
1 |
Prime factors of 15231 are 3,5077. Prime factorization of 15231 in exponential form is:
15231 = 31×50771
Prime Factorization of 15234
2 | 15234 |
3 | 7617 |
2539 | 2539 |
1 |
Prime factors of 15234 are 2,3,2539. Prime factorization of 15234 in exponential form is:
15234 = 21×31×25391
∴ So by taking common prime factors GCF of 15231 and 15234 is 3
Factors of 15231
List of positive integer factors of 15231 that divides 15231 without a remainder.
1,3,5077,15231
Factors of 15234
List of positive integer factors of 15234 that divides 15234 without a remainder.
1,2,3,6,2539,5078,7617,15234
Greatest Common Factor
We found the factors and prime factorization of 15231 and 15234. The biggest common factor number is the GCF number.
So the greatest common factor 15231 and 15234 is 3.
Also check out the Least Common Multiple of 15231 and 15234
(i) The GCF of 15231 and 15234 is associative
GCF of 15231 and 15234 = GCF of 15234 and 15231
1. What is the GCF of 15231 and 15234?
Answer: GCF of 15231 and 15234 is 3.
2. What are the Factors of 15231?
Answer: Factors of 15231 are 1, 3, 5077, 15231. There are 4 integers that are factors of 15231. The greatest factor of 15231 is 15231.
3. What are the Factors of 15234?
Answer: Factors of 15234 are 1, 2, 3, 6, 2539, 5078, 7617, 15234. There are 8 integers that are factors of 15234. The greatest factor of 15234 is 15234.
4. How to Find the GCF of 15231 and 15234?
Answer:
Greatest Common Factor of 15231 and 15234 = 3
Step 1: Find the prime factorization of 15231
15231 = 3 x 5077
Step 2: Find the prime factorization of 15234
15234 = 2 x 3 x 2539
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 15231 and 15234 is 3