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 8289, 8293 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8289 and 8293 is 1.
GCF(8289,8293) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8289
3 | 8289 |
3 | 2763 |
3 | 921 |
307 | 307 |
1 |
Prime factors of 8289 are 3,307. Prime factorization of 8289 in exponential form is:
8289 = 33×3071
Prime Factorization of 8293
8293 | 8293 |
1 |
Prime factors of 8293 are 8293. Prime factorization of 8293 in exponential form is:
8293 = 82931
∴ So by taking common prime factors GCF of 8289 and 8293 is 1
Factors of 8289
List of positive integer factors of 8289 that divides 8289 without a remainder.
1,3,9,27,307,921,2763,8289
Factors of 8293
List of positive integer factors of 8293 that divides 8293 without a remainder.
1,8293
Greatest Common Factor
We found the factors and prime factorization of 8289 and 8293. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8293 is 1.
Also check out the Least Common Multiple of 8289 and 8293
(i) The GCF of 8289 and 8293 is associative
GCF of 8289 and 8293 = GCF of 8293 and 8289
1. What is the GCF of 8289 and 8293?
Answer: GCF of 8289 and 8293 is 1.
2. What are the Factors of 8289?
Answer: Factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289. There are 8 integers that are factors of 8289. The greatest factor of 8289 is 8289.
3. What are the Factors of 8293?
Answer: Factors of 8293 are 1, 8293. There are 2 integers that are factors of 8293. The greatest factor of 8293 is 8293.
4. How to Find the GCF of 8289 and 8293?
Answer:
Greatest Common Factor of 8289 and 8293 = 1
Step 1: Find the prime factorization of 8289
8289 = 3 x 3 x 3 x 307
Step 2: Find the prime factorization of 8293
8293 = 8293
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 8289 and 8293 is 1