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 8382, 8389 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8382 and 8389 is 1.
GCF(8382,8389) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8382
2 | 8382 |
3 | 4191 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 8382 are 2,3,11,127. Prime factorization of 8382 in exponential form is:
8382 = 21×31×111×1271
Prime Factorization of 8389
8389 | 8389 |
1 |
Prime factors of 8389 are 8389. Prime factorization of 8389 in exponential form is:
8389 = 83891
∴ So by taking common prime factors GCF of 8382 and 8389 is 1
Factors of 8382
List of positive integer factors of 8382 that divides 8382 without a remainder.
1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382
Factors of 8389
List of positive integer factors of 8389 that divides 8389 without a remainder.
1,8389
Greatest Common Factor
We found the factors and prime factorization of 8382 and 8389. The biggest common factor number is the GCF number.
So the greatest common factor 8382 and 8389 is 1.
Also check out the Least Common Multiple of 8382 and 8389
(i) The GCF of 8382 and 8389 is associative
GCF of 8382 and 8389 = GCF of 8389 and 8382
1. What is the GCF of 8382 and 8389?
Answer: GCF of 8382 and 8389 is 1.
2. What are the Factors of 8382?
Answer: Factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382. There are 16 integers that are factors of 8382. The greatest factor of 8382 is 8382.
3. What are the Factors of 8389?
Answer: Factors of 8389 are 1, 8389. There are 2 integers that are factors of 8389. The greatest factor of 8389 is 8389.
4. How to Find the GCF of 8382 and 8389?
Answer:
Greatest Common Factor of 8382 and 8389 = 1
Step 1: Find the prime factorization of 8382
8382 = 2 x 3 x 11 x 127
Step 2: Find the prime factorization of 8389
8389 = 8389
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 8382 and 8389 is 1