Greatest Common Factor of 6784 and 6789

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, 6789 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6784 and 6789 is 1.

GCF(6784,6789) = 1

GCF of 6784 and 6789

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6784 and 6789

GCF of 6784 and 6789 is 1

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 6789


3 6789
31 2263
73 73
1

Prime factors of 6789 are 3,31,73. Prime factorization of 6789 in exponential form is:

6789 = 31×311×731

∴ So by taking common prime factors GCF of 6784 and 6789 is 1

Greatest Common Factor of 6784 and 6789 by matching factors method

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 6789

List of positive integer factors of 6789 that divides 6789 without a remainder.

1,3,31,73,93,219,2263,6789

Greatest Common Factor

We found the factors and prime factorization of 6784 and 6789. The biggest common factor number is the GCF number.
So the greatest common factor 6784 and 6789 is 1.

Also check out the Least Common Multiple of 6784 and 6789

Properties of GCF 6784 and 6789

(i) The GCF of 6784 and 6789 is associative

GCF of 6784 and 6789 = GCF of 6789 and 6784

Related Greatest Common Factor of 6784

Related Greatest Common Factor of 6789

Frequently Asked Questions on GCF of 6784 and 6789

1. What is the GCF of 6784 and 6789?

Answer: GCF of 6784 and 6789 is 1.

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 6789?

Answer: Factors of 6789 are 1, 3, 31, 73, 93, 219, 2263, 6789. There are 8 integers that are factors of 6789. The greatest factor of 6789 is 6789.

4. How to Find the GCF of 6784 and 6789?

Answer:

Greatest Common Factor of 6784 and 6789 = 1

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 6789

6789 = 3 x 31 x 73

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 6784 and 6789 is 1