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 6339, 6341 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6339 and 6341 is 1.
GCF(6339,6341) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6339
3 | 6339 |
2113 | 2113 |
1 |
Prime factors of 6339 are 3,2113. Prime factorization of 6339 in exponential form is:
6339 = 31×21131
Prime Factorization of 6341
17 | 6341 |
373 | 373 |
1 |
Prime factors of 6341 are 17,373. Prime factorization of 6341 in exponential form is:
6341 = 171×3731
∴ So by taking common prime factors GCF of 6339 and 6341 is 1
Factors of 6339
List of positive integer factors of 6339 that divides 6339 without a remainder.
1,3,2113,6339
Factors of 6341
List of positive integer factors of 6341 that divides 6341 without a remainder.
1,17,373,6341
Greatest Common Factor
We found the factors and prime factorization of 6339 and 6341. The biggest common factor number is the GCF number.
So the greatest common factor 6339 and 6341 is 1.
Also check out the Least Common Multiple of 6339 and 6341
(i) The GCF of 6339 and 6341 is associative
GCF of 6339 and 6341 = GCF of 6341 and 6339
1. What is the GCF of 6339 and 6341?
Answer: GCF of 6339 and 6341 is 1.
2. What are the Factors of 6339?
Answer: Factors of 6339 are 1, 3, 2113, 6339. There are 4 integers that are factors of 6339. The greatest factor of 6339 is 6339.
3. What are the Factors of 6341?
Answer: Factors of 6341 are 1, 17, 373, 6341. There are 4 integers that are factors of 6341. The greatest factor of 6341 is 6341.
4. How to Find the GCF of 6339 and 6341?
Answer:
Greatest Common Factor of 6339 and 6341 = 1
Step 1: Find the prime factorization of 6339
6339 = 3 x 2113
Step 2: Find the prime factorization of 6341
6341 = 17 x 373
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 6339 and 6341 is 1