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 6369, 6371 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6369 and 6371 is 1.
GCF(6369,6371) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6369
3 | 6369 |
11 | 2123 |
193 | 193 |
1 |
Prime factors of 6369 are 3,11,193. Prime factorization of 6369 in exponential form is:
6369 = 31×111×1931
Prime Factorization of 6371
23 | 6371 |
277 | 277 |
1 |
Prime factors of 6371 are 23,277. Prime factorization of 6371 in exponential form is:
6371 = 231×2771
∴ So by taking common prime factors GCF of 6369 and 6371 is 1
Factors of 6369
List of positive integer factors of 6369 that divides 6369 without a remainder.
1,3,11,33,193,579,2123,6369
Factors of 6371
List of positive integer factors of 6371 that divides 6371 without a remainder.
1,23,277,6371
Greatest Common Factor
We found the factors and prime factorization of 6369 and 6371. The biggest common factor number is the GCF number.
So the greatest common factor 6369 and 6371 is 1.
Also check out the Least Common Multiple of 6369 and 6371
(i) The GCF of 6369 and 6371 is associative
GCF of 6369 and 6371 = GCF of 6371 and 6369
1. What is the GCF of 6369 and 6371?
Answer: GCF of 6369 and 6371 is 1.
2. What are the Factors of 6369?
Answer: Factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369. There are 8 integers that are factors of 6369. The greatest factor of 6369 is 6369.
3. What are the Factors of 6371?
Answer: Factors of 6371 are 1, 23, 277, 6371. There are 4 integers that are factors of 6371. The greatest factor of 6371 is 6371.
4. How to Find the GCF of 6369 and 6371?
Answer:
Greatest Common Factor of 6369 and 6371 = 1
Step 1: Find the prime factorization of 6369
6369 = 3 x 11 x 193
Step 2: Find the prime factorization of 6371
6371 = 23 x 277
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 6369 and 6371 is 1