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 6376, 6378 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6376 and 6378 is 2.
GCF(6376,6378) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6376
2 | 6376 |
2 | 3188 |
2 | 1594 |
797 | 797 |
1 |
Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:
6376 = 23×7971
Prime Factorization of 6378
2 | 6378 |
3 | 3189 |
1063 | 1063 |
1 |
Prime factors of 6378 are 2,3,1063. Prime factorization of 6378 in exponential form is:
6378 = 21×31×10631
∴ So by taking common prime factors GCF of 6376 and 6378 is 2
Factors of 6376
List of positive integer factors of 6376 that divides 6376 without a remainder.
1,2,4,8,797,1594,3188,6376
Factors of 6378
List of positive integer factors of 6378 that divides 6378 without a remainder.
1,2,3,6,1063,2126,3189,6378
Greatest Common Factor
We found the factors and prime factorization of 6376 and 6378. The biggest common factor number is the GCF number.
So the greatest common factor 6376 and 6378 is 2.
Also check out the Least Common Multiple of 6376 and 6378
(i) The GCF of 6376 and 6378 is associative
GCF of 6376 and 6378 = GCF of 6378 and 6376
1. What is the GCF of 6376 and 6378?
Answer: GCF of 6376 and 6378 is 2.
2. What are the Factors of 6376?
Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.
3. What are the Factors of 6378?
Answer: Factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378. There are 8 integers that are factors of 6378. The greatest factor of 6378 is 6378.
4. How to Find the GCF of 6376 and 6378?
Answer:
Greatest Common Factor of 6376 and 6378 = 2
Step 1: Find the prime factorization of 6376
6376 = 2 x 2 x 2 x 797
Step 2: Find the prime factorization of 6378
6378 = 2 x 3 x 1063
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6376 and 6378 is 2