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 82323, 82328 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 82323 and 82328 is 1.
GCF(82323,82328) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 82323
3 | 82323 |
3 | 27441 |
3 | 9147 |
3049 | 3049 |
1 |
Prime factors of 82323 are 3,3049. Prime factorization of 82323 in exponential form is:
82323 = 33×30491
Prime Factorization of 82328
2 | 82328 |
2 | 41164 |
2 | 20582 |
41 | 10291 |
251 | 251 |
1 |
Prime factors of 82328 are 2,41,251. Prime factorization of 82328 in exponential form is:
82328 = 23×411×2511
∴ So by taking common prime factors GCF of 82323 and 82328 is 1
Factors of 82323
List of positive integer factors of 82323 that divides 82323 without a remainder.
1,3,9,27,3049,9147,27441,82323
Factors of 82328
List of positive integer factors of 82328 that divides 82328 without a remainder.
1,2,4,8,41,82,164,251,328,502,1004,2008,10291,20582,41164,82328
Greatest Common Factor
We found the factors and prime factorization of 82323 and 82328. The biggest common factor number is the GCF number.
So the greatest common factor 82323 and 82328 is 1.
Also check out the Least Common Multiple of 82323 and 82328
(i) The GCF of 82323 and 82328 is associative
GCF of 82323 and 82328 = GCF of 82328 and 82323
1. What is the GCF of 82323 and 82328?
Answer: GCF of 82323 and 82328 is 1.
2. What are the Factors of 82323?
Answer: Factors of 82323 are 1, 3, 9, 27, 3049, 9147, 27441, 82323. There are 8 integers that are factors of 82323. The greatest factor of 82323 is 82323.
3. What are the Factors of 82328?
Answer: Factors of 82328 are 1, 2, 4, 8, 41, 82, 164, 251, 328, 502, 1004, 2008, 10291, 20582, 41164, 82328. There are 16 integers that are factors of 82328. The greatest factor of 82328 is 82328.
4. How to Find the GCF of 82323 and 82328?
Answer:
Greatest Common Factor of 82323 and 82328 = 1
Step 1: Find the prime factorization of 82323
82323 = 3 x 3 x 3 x 3049
Step 2: Find the prime factorization of 82328
82328 = 2 x 2 x 2 x 41 x 251
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 82323 and 82328 is 1