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 2323, 2328 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2323 and 2328 is 1.
GCF(2323,2328) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2323
23 | 2323 |
101 | 101 |
1 |
Prime factors of 2323 are 23,101. Prime factorization of 2323 in exponential form is:
2323 = 231×1011
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 2323 and 2328 is 1
Factors of 2323
List of positive integer factors of 2323 that divides 2323 without a remainder.
1,23,101,2323
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 2323 and 2328. The biggest common factor number is the GCF number.
So the greatest common factor 2323 and 2328 is 1.
Also check out the Least Common Multiple of 2323 and 2328
(i) The GCF of 2323 and 2328 is associative
GCF of 2323 and 2328 = GCF of 2328 and 2323
1. What is the GCF of 2323 and 2328?
Answer: GCF of 2323 and 2328 is 1.
2. What are the Factors of 2323?
Answer: Factors of 2323 are 1, 23, 101, 2323. There are 4 integers that are factors of 2323. The greatest factor of 2323 is 2323.
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 2323 and 2328?
Answer:
Greatest Common Factor of 2323 and 2328 = 1
Step 1: Find the prime factorization of 2323
2323 = 23 x 101
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 = = 1
Step 4: Therefore, the greatest common factor of 2323 and 2328 is 1