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 8323, 8327 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8323 and 8327 is 1.
GCF(8323,8327) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8323
7 | 8323 |
29 | 1189 |
41 | 41 |
1 |
Prime factors of 8323 are 7,29,41. Prime factorization of 8323 in exponential form is:
8323 = 71×291×411
Prime Factorization of 8327
11 | 8327 |
757 | 757 |
1 |
Prime factors of 8327 are 11,757. Prime factorization of 8327 in exponential form is:
8327 = 111×7571
∴ So by taking common prime factors GCF of 8323 and 8327 is 1
Factors of 8323
List of positive integer factors of 8323 that divides 8323 without a remainder.
1,7,29,41,203,287,1189,8323
Factors of 8327
List of positive integer factors of 8327 that divides 8327 without a remainder.
1,11,757,8327
Greatest Common Factor
We found the factors and prime factorization of 8323 and 8327. The biggest common factor number is the GCF number.
So the greatest common factor 8323 and 8327 is 1.
Also check out the Least Common Multiple of 8323 and 8327
(i) The GCF of 8323 and 8327 is associative
GCF of 8323 and 8327 = GCF of 8327 and 8323
1. What is the GCF of 8323 and 8327?
Answer: GCF of 8323 and 8327 is 1.
2. What are the Factors of 8323?
Answer: Factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323. There are 8 integers that are factors of 8323. The greatest factor of 8323 is 8323.
3. What are the Factors of 8327?
Answer: Factors of 8327 are 1, 11, 757, 8327. There are 4 integers that are factors of 8327. The greatest factor of 8327 is 8327.
4. How to Find the GCF of 8323 and 8327?
Answer:
Greatest Common Factor of 8323 and 8327 = 1
Step 1: Find the prime factorization of 8323
8323 = 7 x 29 x 41
Step 2: Find the prime factorization of 8327
8327 = 11 x 757
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 8323 and 8327 is 1