Greatest Common Factor of 6784 and 6788

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, 6788 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6784 and 6788 is 4.

GCF(6784,6788) = 4

GCF of 6784 and 6788

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

GCF of:
and

Greatest Common Factor of 6784 and 6788

GCF of 6784 and 6788 is 4

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 6788


2 6788
2 3394
1697 1697
1

Prime factors of 6788 are 2,1697. Prime factorization of 6788 in exponential form is:

6788 = 22×16971

∴ So by taking common prime factors GCF of 6784 and 6788 is 4

Greatest Common Factor of 6784 and 6788 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 6788

List of positive integer factors of 6788 that divides 6788 without a remainder.

1,2,4,1697,3394,6788

Greatest Common Factor

We found the factors and prime factorization of 6784 and 6788. The biggest common factor number is the GCF number.
So the greatest common factor 6784 and 6788 is 4.

Also check out the Least Common Multiple of 6784 and 6788

Properties of GCF 6784 and 6788

(i) The GCF of 6784 and 6788 is associative

GCF of 6784 and 6788 = GCF of 6788 and 6784

Related Greatest Common Factor of 6784

Related Greatest Common Factor of 6788

Frequently Asked Questions on GCF of 6784 and 6788

1. What is the GCF of 6784 and 6788?

Answer: GCF of 6784 and 6788 is 4.

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 6788?

Answer: Factors of 6788 are 1, 2, 4, 1697, 3394, 6788. There are 6 integers that are factors of 6788. The greatest factor of 6788 is 6788.

4. How to Find the GCF of 6784 and 6788?

Answer:

Greatest Common Factor of 6784 and 6788 = 4

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 6788

6788 = 2 x 2 x 1697

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6784 and 6788 is 4