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 82389, 82394 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 82389 and 82394 is 1.
GCF(82389,82394) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 82389
3 | 82389 |
29 | 27463 |
947 | 947 |
1 |
Prime factors of 82389 are 3,29,947. Prime factorization of 82389 in exponential form is:
82389 = 31×291×9471
Prime Factorization of 82394
2 | 82394 |
13 | 41197 |
3169 | 3169 |
1 |
Prime factors of 82394 are 2,13,3169. Prime factorization of 82394 in exponential form is:
82394 = 21×131×31691
∴ So by taking common prime factors GCF of 82389 and 82394 is 1
Factors of 82389
List of positive integer factors of 82389 that divides 82389 without a remainder.
1,3,29,87,947,2841,27463,82389
Factors of 82394
List of positive integer factors of 82394 that divides 82394 without a remainder.
1,2,13,26,3169,6338,41197,82394
Greatest Common Factor
We found the factors and prime factorization of 82389 and 82394. The biggest common factor number is the GCF number.
So the greatest common factor 82389 and 82394 is 1.
Also check out the Least Common Multiple of 82389 and 82394
(i) The GCF of 82389 and 82394 is associative
GCF of 82389 and 82394 = GCF of 82394 and 82389
1. What is the GCF of 82389 and 82394?
Answer: GCF of 82389 and 82394 is 1.
2. What are the Factors of 82389?
Answer: Factors of 82389 are 1, 3, 29, 87, 947, 2841, 27463, 82389. There are 8 integers that are factors of 82389. The greatest factor of 82389 is 82389.
3. What are the Factors of 82394?
Answer: Factors of 82394 are 1, 2, 13, 26, 3169, 6338, 41197, 82394. There are 8 integers that are factors of 82394. The greatest factor of 82394 is 82394.
4. How to Find the GCF of 82389 and 82394?
Answer:
Greatest Common Factor of 82389 and 82394 = 1
Step 1: Find the prime factorization of 82389
82389 = 3 x 29 x 947
Step 2: Find the prime factorization of 82394
82394 = 2 x 13 x 3169
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 82389 and 82394 is 1