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 6311, 6314 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6311 and 6314 is 1.
GCF(6311,6314) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6311
6311 | 6311 |
1 |
Prime factors of 6311 are 6311. Prime factorization of 6311 in exponential form is:
6311 = 63111
Prime Factorization of 6314
2 | 6314 |
7 | 3157 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 6314 are 2.Prime factorization of 6314 in exponential form is:
6314 = 21×71×111×411
∴ So by taking common prime factors GCF of 6311 and 6314 is 1
Factors of 6311
List of positive integer factors of 6311 that divides 6311 without a remainder.
1,6311
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
Greatest Common Factor
We found the factors and prime factorization of 6311 and 6314. The biggest common factor number is the GCF number.
So the greatest common factor 6311 and 6314 is 1.
Also check out the Least Common Multiple of 6311 and 6314
(i) The GCF of 6311 and 6314 is associative
GCF of 6311 and 6314 = GCF of 6314 and 6311
1. What is the GCF of 6311 and 6314?
Answer: GCF of 6311 and 6314 is 1.
2. What are the Factors of 6311?
Answer: Factors of 6311 are 1, 6311. There are 2 integers that are factors of 6311. The greatest factor of 6311 is 6311.
3. 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.
4. How to Find the GCF of 6311 and 6314?
Answer:
Greatest Common Factor of 6311 and 6314 = 1
Step 1: Find the prime factorization of 6311
6311 = 6311
Step 2: Find the prime factorization of 6314
6314 = 2 x 7 x 11 x 41
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 6311 and 6314 is 1