Greatest Common Factor of 6782 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 6782, 6788 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6782 and 6788 is 2.

GCF(6782,6788) = 2

GCF of 6782 and 6788

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

GCF of:
and

Greatest Common Factor of 6782 and 6788

GCF of 6782 and 6788 is 2

Prime Factorization of 6782


2 6782
3391 3391
1

Prime factors of 6782 are 2,3391. Prime factorization of 6782 in exponential form is:

6782 = 21×33911

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 6782 and 6788 is 2

Greatest Common Factor of 6782 and 6788 by matching factors method

Factors of 6782

List of positive integer factors of 6782 that divides 6782 without a remainder.

1,2,3391,6782

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 6782 and 6788. The biggest common factor number is the GCF number.
So the greatest common factor 6782 and 6788 is 2.

Also check out the Least Common Multiple of 6782 and 6788

Properties of GCF 6782 and 6788

(i) The GCF of 6782 and 6788 is associative

GCF of 6782 and 6788 = GCF of 6788 and 6782

Related Greatest Common Factor of 6782

Related Greatest Common Factor of 6788

Frequently Asked Questions on GCF of 6782 and 6788

1. What is the GCF of 6782 and 6788?

Answer: GCF of 6782 and 6788 is 2.

2. What are the Factors of 6782?

Answer: Factors of 6782 are 1, 2, 3391, 6782. There are 4 integers that are factors of 6782. The greatest factor of 6782 is 6782.

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 6782 and 6788?

Answer:

Greatest Common Factor of 6782 and 6788 = 2

Step 1: Find the prime factorization of 6782

6782 = 2 x 3391

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

Step 4: Therefore, the greatest common factor of 6782 and 6788 is 2