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 2289, 2293 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2289 and 2293 is 1.
GCF(2289,2293) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2289
3 | 2289 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 2289 are 3,7,109. Prime factorization of 2289 in exponential form is:
2289 = 31×71×1091
Prime Factorization of 2293
2293 | 2293 |
1 |
Prime factors of 2293 are 2293. Prime factorization of 2293 in exponential form is:
2293 = 22931
∴ So by taking common prime factors GCF of 2289 and 2293 is 1
Factors of 2289
List of positive integer factors of 2289 that divides 2289 without a remainder.
1,3,7,21,109,327,763,2289
Factors of 2293
List of positive integer factors of 2293 that divides 2293 without a remainder.
1,2293
Greatest Common Factor
We found the factors and prime factorization of 2289 and 2293. The biggest common factor number is the GCF number.
So the greatest common factor 2289 and 2293 is 1.
Also check out the Least Common Multiple of 2289 and 2293
(i) The GCF of 2289 and 2293 is associative
GCF of 2289 and 2293 = GCF of 2293 and 2289
1. What is the GCF of 2289 and 2293?
Answer: GCF of 2289 and 2293 is 1.
2. What are the Factors of 2289?
Answer: Factors of 2289 are 1, 3, 7, 21, 109, 327, 763, 2289. There are 8 integers that are factors of 2289. The greatest factor of 2289 is 2289.
3. What are the Factors of 2293?
Answer: Factors of 2293 are 1, 2293. There are 2 integers that are factors of 2293. The greatest factor of 2293 is 2293.
4. How to Find the GCF of 2289 and 2293?
Answer:
Greatest Common Factor of 2289 and 2293 = 1
Step 1: Find the prime factorization of 2289
2289 = 3 x 7 x 109
Step 2: Find the prime factorization of 2293
2293 = 2293
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 2289 and 2293 is 1