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 6783, 6784 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6783 and 6784 is 1.
GCF(6783,6784) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6783
3 | 6783 |
7 | 2261 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 6783 are 3,7,17,19. Prime factorization of 6783 in exponential form is:
6783 = 31×71×171×191
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
∴ So by taking common prime factors GCF of 6783 and 6784 is 1
Factors of 6783
List of positive integer factors of 6783 that divides 6783 without a remainder.
1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783
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
Greatest Common Factor
We found the factors and prime factorization of 6783 and 6784. The biggest common factor number is the GCF number.
So the greatest common factor 6783 and 6784 is 1.
Also check out the Least Common Multiple of 6783 and 6784
(i) The GCF of 6783 and 6784 is associative
GCF of 6783 and 6784 = GCF of 6784 and 6783
1. What is the GCF of 6783 and 6784?
Answer: GCF of 6783 and 6784 is 1.
2. What are the Factors of 6783?
Answer: Factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783. There are 16 integers that are factors of 6783. The greatest factor of 6783 is 6783.
3. 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.
4. How to Find the GCF of 6783 and 6784?
Answer:
Greatest Common Factor of 6783 and 6784 = 1
Step 1: Find the prime factorization of 6783
6783 = 3 x 7 x 17 x 19
Step 2: Find the prime factorization of 6784
6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53
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 6783 and 6784 is 1