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 6344, 6351 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6344 and 6351 is 1.
GCF(6344,6351) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6351
3 | 6351 |
29 | 2117 |
73 | 73 |
1 |
Prime factors of 6351 are 3,29,73. Prime factorization of 6351 in exponential form is:
6351 = 31×291×731
∴ So by taking common prime factors GCF of 6344 and 6351 is 1
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
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1,3,29,73,87,219,2117,6351
Greatest Common Factor
We found the factors and prime factorization of 6344 and 6351. The biggest common factor number is the GCF number.
So the greatest common factor 6344 and 6351 is 1.
Also check out the Least Common Multiple of 6344 and 6351
(i) The GCF of 6344 and 6351 is associative
GCF of 6344 and 6351 = GCF of 6351 and 6344
1. What is the GCF of 6344 and 6351?
Answer: GCF of 6344 and 6351 is 1.
2. 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.
3. What are the Factors of 6351?
Answer: Factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351. There are 8 integers that are factors of 6351. The greatest factor of 6351 is 6351.
4. How to Find the GCF of 6344 and 6351?
Answer:
Greatest Common Factor of 6344 and 6351 = 1
Step 1: Find the prime factorization of 6344
6344 = 2 x 2 x 2 x 13 x 61
Step 2: Find the prime factorization of 6351
6351 = 3 x 29 x 73
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 6344 and 6351 is 1