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 2309, 2312 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2309 and 2312 is 1.
GCF(2309,2312) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2309
2309 | 2309 |
1 |
Prime factors of 2309 are 2309. Prime factorization of 2309 in exponential form is:
2309 = 23091
Prime Factorization of 2312
2 | 2312 |
2 | 1156 |
2 | 578 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 2312 are 2.Prime factorization of 2312 in exponential form is:
2312 = 23×172
∴ So by taking common prime factors GCF of 2309 and 2312 is 1
Factors of 2309
List of positive integer factors of 2309 that divides 2309 without a remainder.
1,2309
Factors of 2312
List of positive integer factors of 2312 that divides 2312 without a remainder.
1,2,4,8,17,34,68,136,289,578,1156,2312
Greatest Common Factor
We found the factors and prime factorization of 2309 and 2312. The biggest common factor number is the GCF number.
So the greatest common factor 2309 and 2312 is 1.
Also check out the Least Common Multiple of 2309 and 2312
(i) The GCF of 2309 and 2312 is associative
GCF of 2309 and 2312 = GCF of 2312 and 2309
1. What is the GCF of 2309 and 2312?
Answer: GCF of 2309 and 2312 is 1.
2. What are the Factors of 2309?
Answer: Factors of 2309 are 1, 2309. There are 2 integers that are factors of 2309. The greatest factor of 2309 is 2309.
3. What are the Factors of 2312?
Answer: Factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312. There are 12 integers that are factors of 2312. The greatest factor of 2312 is 2312.
4. How to Find the GCF of 2309 and 2312?
Answer:
Greatest Common Factor of 2309 and 2312 = 1
Step 1: Find the prime factorization of 2309
2309 = 2309
Step 2: Find the prime factorization of 2312
2312 = 2 x 2 x 2 x 17 x 17
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 2309 and 2312 is 1