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 6318, 6319 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6318 and 6319 is 1.
GCF(6318,6319) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6318
2 | 6318 |
3 | 3159 |
3 | 1053 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 6318 are 2,3,13. Prime factorization of 6318 in exponential form is:
6318 = 21×35×131
Prime Factorization of 6319
71 | 6319 |
89 | 89 |
1 |
Prime factors of 6319 are 71,89. Prime factorization of 6319 in exponential form is:
6319 = 711×891
∴ So by taking common prime factors GCF of 6318 and 6319 is 1
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Factors of 6319
List of positive integer factors of 6319 that divides 6319 without a remainder.
1,71,89,6319
Greatest Common Factor
We found the factors and prime factorization of 6318 and 6319. The biggest common factor number is the GCF number.
So the greatest common factor 6318 and 6319 is 1.
Also check out the Least Common Multiple of 6318 and 6319
(i) The GCF of 6318 and 6319 is associative
GCF of 6318 and 6319 = GCF of 6319 and 6318
1. What is the GCF of 6318 and 6319?
Answer: GCF of 6318 and 6319 is 1.
2. What are the Factors of 6318?
Answer: Factors of 6318 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318. There are 24 integers that are factors of 6318. The greatest factor of 6318 is 6318.
3. What are the Factors of 6319?
Answer: Factors of 6319 are 1, 71, 89, 6319. There are 4 integers that are factors of 6319. The greatest factor of 6319 is 6319.
4. How to Find the GCF of 6318 and 6319?
Answer:
Greatest Common Factor of 6318 and 6319 = 1
Step 1: Find the prime factorization of 6318
6318 = 2 x 3 x 3 x 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 6319
6319 = 71 x 89
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 6318 and 6319 is 1