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 6784, 6786 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6784 and 6786 is 2.
GCF(6784,6786) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6784
2 | 6784 |
2 | 3392 |
2 | 1696 |
2 | 848 |
2 | 424 |
2 | 212 |
2 | 106 |
53 | 53 |
1 |
Prime factors of 6784 are 2,53. Prime factorization of 6784 in exponential form is:
6784 = 27×531
Prime Factorization of 6786
2 | 6786 |
3 | 3393 |
3 | 1131 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 6786 are 2,3,13,29. Prime factorization of 6786 in exponential form is:
6786 = 21×32×131×291
∴ So by taking common prime factors GCF of 6784 and 6786 is 2
Factors of 6784
List of positive integer factors of 6784 that divides 6784 without a remainder.
1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784
Factors of 6786
List of positive integer factors of 6786 that divides 6786 without a remainder.
1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786
Greatest Common Factor
We found the factors and prime factorization of 6784 and 6786. The biggest common factor number is the GCF number.
So the greatest common factor 6784 and 6786 is 2.
Also check out the Least Common Multiple of 6784 and 6786
(i) The GCF of 6784 and 6786 is associative
GCF of 6784 and 6786 = GCF of 6786 and 6784
1. What is the GCF of 6784 and 6786?
Answer: GCF of 6784 and 6786 is 2.
2. What are the Factors of 6784?
Answer: Factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784. There are 16 integers that are factors of 6784. The greatest factor of 6784 is 6784.
3. What are the Factors of 6786?
Answer: Factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786. There are 24 integers that are factors of 6786. The greatest factor of 6786 is 6786.
4. How to Find the GCF of 6784 and 6786?
Answer:
Greatest Common Factor of 6784 and 6786 = 2
Step 1: Find the prime factorization of 6784
6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53
Step 2: Find the prime factorization of 6786
6786 = 2 x 3 x 3 x 13 x 29
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 6784 and 6786 is 2