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 6384, 6392 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6384 and 6392 is 8.
GCF(6384,6392) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6384
2 | 6384 |
2 | 3192 |
2 | 1596 |
2 | 798 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 6384 are 2,3,7,19. Prime factorization of 6384 in exponential form is:
6384 = 24×31×71×191
Prime Factorization of 6392
2 | 6392 |
2 | 3196 |
2 | 1598 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 6392 are 2,17,47. Prime factorization of 6392 in exponential form is:
6392 = 23×171×471
∴ So by taking common prime factors GCF of 6384 and 6392 is 8
Factors of 6384
List of positive integer factors of 6384 that divides 6384 without a remainder.
1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384
Factors of 6392
List of positive integer factors of 6392 that divides 6392 without a remainder.
1,2,4,8,17,34,47,68,94,136,188,376,799,1598,3196,6392
Greatest Common Factor
We found the factors and prime factorization of 6384 and 6392. The biggest common factor number is the GCF number.
So the greatest common factor 6384 and 6392 is 8.
Also check out the Least Common Multiple of 6384 and 6392
(i) The GCF of 6384 and 6392 is associative
GCF of 6384 and 6392 = GCF of 6392 and 6384
1. What is the GCF of 6384 and 6392?
Answer: GCF of 6384 and 6392 is 8.
2. What are the Factors of 6384?
Answer: Factors of 6384 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384. There are 40 integers that are factors of 6384. The greatest factor of 6384 is 6384.
3. What are the Factors of 6392?
Answer: Factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392. There are 16 integers that are factors of 6392. The greatest factor of 6392 is 6392.
4. How to Find the GCF of 6384 and 6392?
Answer:
Greatest Common Factor of 6384 and 6392 = 8
Step 1: Find the prime factorization of 6384
6384 = 2 x 2 x 2 x 2 x 3 x 7 x 19
Step 2: Find the prime factorization of 6392
6392 = 2 x 2 x 2 x 17 x 47
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 6384 and 6392 is 8