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 2321, 2325 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2321 and 2325 is 1.
GCF(2321,2325) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2321
11 | 2321 |
211 | 211 |
1 |
Prime factors of 2321 are 11,211. Prime factorization of 2321 in exponential form is:
2321 = 111×2111
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
∴ So by taking common prime factors GCF of 2321 and 2325 is 1
Factors of 2321
List of positive integer factors of 2321 that divides 2321 without a remainder.
1,11,211,2321
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
Greatest Common Factor
We found the factors and prime factorization of 2321 and 2325. The biggest common factor number is the GCF number.
So the greatest common factor 2321 and 2325 is 1.
Also check out the Least Common Multiple of 2321 and 2325
(i) The GCF of 2321 and 2325 is associative
GCF of 2321 and 2325 = GCF of 2325 and 2321
1. What is the GCF of 2321 and 2325?
Answer: GCF of 2321 and 2325 is 1.
2. What are the Factors of 2321?
Answer: Factors of 2321 are 1, 11, 211, 2321. There are 4 integers that are factors of 2321. The greatest factor of 2321 is 2321.
3. 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.
4. How to Find the GCF of 2321 and 2325?
Answer:
Greatest Common Factor of 2321 and 2325 = 1
Step 1: Find the prime factorization of 2321
2321 = 11 x 211
Step 2: Find the prime factorization of 2325
2325 = 3 x 5 x 5 x 31
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 2321 and 2325 is 1