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 2325, 2328 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2325 and 2328 is 3.
GCF(2325,2328) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2325
3 | 2325 |
5 | 775 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 2325 are 3,5,31. Prime factorization of 2325 in exponential form is:
2325 = 31×52×311
Prime Factorization of 2328
2 | 2328 |
2 | 1164 |
2 | 582 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 2328 are 2,3,97. Prime factorization of 2328 in exponential form is:
2328 = 23×31×971
∴ So by taking common prime factors GCF of 2325 and 2328 is 3
Factors of 2325
List of positive integer factors of 2325 that divides 2325 without a remainder.
1,3,5,15,25,31,75,93,155,465,775,2325
Factors of 2328
List of positive integer factors of 2328 that divides 2328 without a remainder.
1,2,3,4,6,8,12,24,97,194,291,388,582,776,1164,2328
Greatest Common Factor
We found the factors and prime factorization of 2325 and 2328. The biggest common factor number is the GCF number.
So the greatest common factor 2325 and 2328 is 3.
Also check out the Least Common Multiple of 2325 and 2328
(i) The GCF of 2325 and 2328 is associative
GCF of 2325 and 2328 = GCF of 2328 and 2325
1. What is the GCF of 2325 and 2328?
Answer: GCF of 2325 and 2328 is 3.
2. What are the Factors of 2325?
Answer: Factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325. There are 12 integers that are factors of 2325. The greatest factor of 2325 is 2325.
3. What are the Factors of 2328?
Answer: Factors of 2328 are 1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164, 2328. There are 16 integers that are factors of 2328. The greatest factor of 2328 is 2328.
4. How to Find the GCF of 2325 and 2328?
Answer:
Greatest Common Factor of 2325 and 2328 = 3
Step 1: Find the prime factorization of 2325
2325 = 3 x 5 x 5 x 31
Step 2: Find the prime factorization of 2328
2328 = 2 x 2 x 2 x 3 x 97
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 2325 and 2328 is 3