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 6314, 6315 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6314 and 6315 is 1.
GCF(6314,6315) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6314
2 | 6314 |
7 | 3157 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 6314 are 2,7,11,41. Prime factorization of 6314 in exponential form is:
6314 = 21×71×111×411
Prime Factorization of 6315
3 | 6315 |
5 | 2105 |
421 | 421 |
1 |
Prime factors of 6315 are 3,5,421. Prime factorization of 6315 in exponential form is:
6315 = 31×51×4211
∴ So by taking common prime factors GCF of 6314 and 6315 is 1
Factors of 6314
List of positive integer factors of 6314 that divides 6314 without a remainder.
1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314
Factors of 6315
List of positive integer factors of 6315 that divides 6315 without a remainder.
1,3,5,15,421,1263,2105,6315
Greatest Common Factor
We found the factors and prime factorization of 6314 and 6315. The biggest common factor number is the GCF number.
So the greatest common factor 6314 and 6315 is 1.
Also check out the Least Common Multiple of 6314 and 6315
(i) The GCF of 6314 and 6315 is associative
GCF of 6314 and 6315 = GCF of 6315 and 6314
1. What is the GCF of 6314 and 6315?
Answer: GCF of 6314 and 6315 is 1.
2. What are the Factors of 6314?
Answer: Factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314. There are 16 integers that are factors of 6314. The greatest factor of 6314 is 6314.
3. What are the Factors of 6315?
Answer: Factors of 6315 are 1, 3, 5, 15, 421, 1263, 2105, 6315. There are 8 integers that are factors of 6315. The greatest factor of 6315 is 6315.
4. How to Find the GCF of 6314 and 6315?
Answer:
Greatest Common Factor of 6314 and 6315 = 1
Step 1: Find the prime factorization of 6314
6314 = 2 x 7 x 11 x 41
Step 2: Find the prime factorization of 6315
6315 = 3 x 5 x 421
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 6314 and 6315 is 1