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 6341, 6344 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6341 and 6344 is 1.
GCF(6341,6344) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6344
2 | 6344 |
2 | 3172 |
2 | 1586 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 6344 are 2,13,61. Prime factorization of 6344 in exponential form is:
6344 = 23×131×611
∴ So by taking common prime factors GCF of 6341 and 6344 is 1
Factors of 6341
List of positive integer factors of 6341 that divides 6341 without a remainder.
1,17,373,6341
Factors of 6344
List of positive integer factors of 6344 that divides 6344 without a remainder.
1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Greatest Common Factor
We found the factors and prime factorization of 6341 and 6344. The biggest common factor number is the GCF number.
So the greatest common factor 6341 and 6344 is 1.
Also check out the Least Common Multiple of 6341 and 6344
(i) The GCF of 6341 and 6344 is associative
GCF of 6341 and 6344 = GCF of 6344 and 6341
1. What is the GCF of 6341 and 6344?
Answer: GCF of 6341 and 6344 is 1.
2. 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.
3. What are the Factors of 6344?
Answer: Factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344. There are 16 integers that are factors of 6344. The greatest factor of 6344 is 6344.
4. How to Find the GCF of 6341 and 6344?
Answer:
Greatest Common Factor of 6341 and 6344 = 1
Step 1: Find the prime factorization of 6341
6341 = 17 x 373
Step 2: Find the prime factorization of 6344
6344 = 2 x 2 x 2 x 13 x 61
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 6341 and 6344 is 1