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 6371, 6374 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6371 and 6374 is 1.
GCF(6371,6374) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6374
2 | 6374 |
3187 | 3187 |
1 |
Prime factors of 6374 are 2,3187. Prime factorization of 6374 in exponential form is:
6374 = 21×31871
∴ So by taking common prime factors GCF of 6371 and 6374 is 1
Factors of 6371
List of positive integer factors of 6371 that divides 6371 without a remainder.
1,23,277,6371
Factors of 6374
List of positive integer factors of 6374 that divides 6374 without a remainder.
1,2,3187,6374
Greatest Common Factor
We found the factors and prime factorization of 6371 and 6374. The biggest common factor number is the GCF number.
So the greatest common factor 6371 and 6374 is 1.
Also check out the Least Common Multiple of 6371 and 6374
(i) The GCF of 6371 and 6374 is associative
GCF of 6371 and 6374 = GCF of 6374 and 6371
1. What is the GCF of 6371 and 6374?
Answer: GCF of 6371 and 6374 is 1.
2. 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.
3. What are the Factors of 6374?
Answer: Factors of 6374 are 1, 2, 3187, 6374. There are 4 integers that are factors of 6374. The greatest factor of 6374 is 6374.
4. How to Find the GCF of 6371 and 6374?
Answer:
Greatest Common Factor of 6371 and 6374 = 1
Step 1: Find the prime factorization of 6371
6371 = 23 x 277
Step 2: Find the prime factorization of 6374
6374 = 2 x 3187
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 6371 and 6374 is 1