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 6368, 6376 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6368 and 6376 is 8.
GCF(6368,6376) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6368
2 | 6368 |
2 | 3184 |
2 | 1592 |
2 | 796 |
2 | 398 |
199 | 199 |
1 |
Prime factors of 6368 are 2,199. Prime factorization of 6368 in exponential form is:
6368 = 25×1991
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
∴ So by taking common prime factors GCF of 6368 and 6376 is 8
Factors of 6368
List of positive integer factors of 6368 that divides 6368 without a remainder.
1,2,4,8,16,32,199,398,796,1592,3184,6368
Factors of 6376
List of positive integer factors of 6376 that divides 6376 without a remainder.
1,2,4,8,797,1594,3188,6376
Greatest Common Factor
We found the factors and prime factorization of 6368 and 6376. The biggest common factor number is the GCF number.
So the greatest common factor 6368 and 6376 is 8.
Also check out the Least Common Multiple of 6368 and 6376
(i) The GCF of 6368 and 6376 is associative
GCF of 6368 and 6376 = GCF of 6376 and 6368
1. What is the GCF of 6368 and 6376?
Answer: GCF of 6368 and 6376 is 8.
2. What are the Factors of 6368?
Answer: Factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368. There are 12 integers that are factors of 6368. The greatest factor of 6368 is 6368.
3. 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.
4. How to Find the GCF of 6368 and 6376?
Answer:
Greatest Common Factor of 6368 and 6376 = 8
Step 1: Find the prime factorization of 6368
6368 = 2 x 2 x 2 x 2 x 2 x 199
Step 2: Find the prime factorization of 6376
6376 = 2 x 2 x 2 x 797
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 6368 and 6376 is 8