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 2305, 2309 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2305 and 2309 is 1.
GCF(2305,2309) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2305
5 | 2305 |
461 | 461 |
1 |
Prime factors of 2305 are 5,461. Prime factorization of 2305 in exponential form is:
2305 = 51×4611
Prime Factorization of 2309
2309 | 2309 |
1 |
Prime factors of 2309 are 2309. Prime factorization of 2309 in exponential form is:
2309 = 23091
∴ So by taking common prime factors GCF of 2305 and 2309 is 1
Factors of 2305
List of positive integer factors of 2305 that divides 2305 without a remainder.
1,5,461,2305
Factors of 2309
List of positive integer factors of 2309 that divides 2309 without a remainder.
1,2309
Greatest Common Factor
We found the factors and prime factorization of 2305 and 2309. The biggest common factor number is the GCF number.
So the greatest common factor 2305 and 2309 is 1.
Also check out the Least Common Multiple of 2305 and 2309
(i) The GCF of 2305 and 2309 is associative
GCF of 2305 and 2309 = GCF of 2309 and 2305
1. What is the GCF of 2305 and 2309?
Answer: GCF of 2305 and 2309 is 1.
2. What are the Factors of 2305?
Answer: Factors of 2305 are 1, 5, 461, 2305. There are 4 integers that are factors of 2305. The greatest factor of 2305 is 2305.
3. 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.
4. How to Find the GCF of 2305 and 2309?
Answer:
Greatest Common Factor of 2305 and 2309 = 1
Step 1: Find the prime factorization of 2305
2305 = 5 x 461
Step 2: Find the prime factorization of 2309
2309 = 2309
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 2305 and 2309 is 1