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 2314, 2318 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2314 and 2318 is 2.
GCF(2314,2318) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2314
2 | 2314 |
13 | 1157 |
89 | 89 |
1 |
Prime factors of 2314 are 2,13,89. Prime factorization of 2314 in exponential form is:
2314 = 21×131×891
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
∴ So by taking common prime factors GCF of 2314 and 2318 is 2
Factors of 2314
List of positive integer factors of 2314 that divides 2314 without a remainder.
1,2,13,26,89,178,1157,2314
Factors of 2318
List of positive integer factors of 2318 that divides 2318 without a remainder.
1,2,19,38,61,122,1159,2318
Greatest Common Factor
We found the factors and prime factorization of 2314 and 2318. The biggest common factor number is the GCF number.
So the greatest common factor 2314 and 2318 is 2.
Also check out the Least Common Multiple of 2314 and 2318
(i) The GCF of 2314 and 2318 is associative
GCF of 2314 and 2318 = GCF of 2318 and 2314
1. What is the GCF of 2314 and 2318?
Answer: GCF of 2314 and 2318 is 2.
2. What are the Factors of 2314?
Answer: Factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314. There are 8 integers that are factors of 2314. The greatest factor of 2314 is 2314.
3. 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.
4. How to Find the GCF of 2314 and 2318?
Answer:
Greatest Common Factor of 2314 and 2318 = 2
Step 1: Find the prime factorization of 2314
2314 = 2 x 13 x 89
Step 2: Find the prime factorization of 2318
2318 = 2 x 19 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2314 and 2318 is 2