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 2318, 2323 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2318 and 2323 is 1.
GCF(2318,2323) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2318
2 | 2318 |
19 | 1159 |
61 | 61 |
1 |
Prime factors of 2318 are 2,19,61. Prime factorization of 2318 in exponential form is:
2318 = 21×191×611
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
∴ So by taking common prime factors GCF of 2318 and 2323 is 1
Factors of 2318
List of positive integer factors of 2318 that divides 2318 without a remainder.
1,2,19,38,61,122,1159,2318
Factors of 2323
List of positive integer factors of 2323 that divides 2323 without a remainder.
1,23,101,2323
Greatest Common Factor
We found the factors and prime factorization of 2318 and 2323. The biggest common factor number is the GCF number.
So the greatest common factor 2318 and 2323 is 1.
Also check out the Least Common Multiple of 2318 and 2323
(i) The GCF of 2318 and 2323 is associative
GCF of 2318 and 2323 = GCF of 2323 and 2318
1. What is the GCF of 2318 and 2323?
Answer: GCF of 2318 and 2323 is 1.
2. What are the Factors of 2318?
Answer: Factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318. There are 8 integers that are factors of 2318. The greatest factor of 2318 is 2318.
3. 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.
4. How to Find the GCF of 2318 and 2323?
Answer:
Greatest Common Factor of 2318 and 2323 = 1
Step 1: Find the prime factorization of 2318
2318 = 2 x 19 x 61
Step 2: Find the prime factorization of 2323
2323 = 23 x 101
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 2318 and 2323 is 1