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 6317, 6324 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6317 and 6324 is 1.
GCF(6317,6324) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6317
6317 | 6317 |
1 |
Prime factors of 6317 are 6317. Prime factorization of 6317 in exponential form is:
6317 = 63171
Prime Factorization of 6324
2 | 6324 |
2 | 3162 |
3 | 1581 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 6324 are 2.Prime factorization of 6324 in exponential form is:
6324 = 22×31×171×311
∴ So by taking common prime factors GCF of 6317 and 6324 is 1
Factors of 6317
List of positive integer factors of 6317 that divides 6317 without a remainder.
1,6317
Factors of 6324
List of positive integer factors of 6324 that divides 6324 without a remainder.
1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324
Greatest Common Factor
We found the factors and prime factorization of 6317 and 6324. The biggest common factor number is the GCF number.
So the greatest common factor 6317 and 6324 is 1.
Also check out the Least Common Multiple of 6317 and 6324
(i) The GCF of 6317 and 6324 is associative
GCF of 6317 and 6324 = GCF of 6324 and 6317
1. What is the GCF of 6317 and 6324?
Answer: GCF of 6317 and 6324 is 1.
2. What are the Factors of 6317?
Answer: Factors of 6317 are 1, 6317. There are 2 integers that are factors of 6317. The greatest factor of 6317 is 6317.
3. What are the Factors of 6324?
Answer: Factors of 6324 are 1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324. There are 24 integers that are factors of 6324. The greatest factor of 6324 is 6324.
4. How to Find the GCF of 6317 and 6324?
Answer:
Greatest Common Factor of 6317 and 6324 = 1
Step 1: Find the prime factorization of 6317
6317 = 6317
Step 2: Find the prime factorization of 6324
6324 = 2 x 2 x 3 x 17 x 31
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 6317 and 6324 is 1