Greatest Common Factor of 6722 and 6728

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 6722, 6728 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6722 and 6728 is 2.

GCF(6722,6728) = 2

GCF of 6722 and 6728

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

GCF of:
and

Greatest Common Factor of 6722 and 6728

GCF of 6722 and 6728 is 2

Prime Factorization of 6722


2 6722
3361 3361
1

Prime factors of 6722 are 2,3361. Prime factorization of 6722 in exponential form is:

6722 = 21×33611

Prime Factorization of 6728


2 6728
2 3364
2 1682
29 841
29 29
1

Prime factors of 6728 are 2,29. Prime factorization of 6728 in exponential form is:

6728 = 23×292

∴ So by taking common prime factors GCF of 6722 and 6728 is 2

Greatest Common Factor of 6722 and 6728 by matching factors method

Factors of 6722

List of positive integer factors of 6722 that divides 6722 without a remainder.

1,2,3361,6722

Factors of 6728

List of positive integer factors of 6728 that divides 6728 without a remainder.

1,2,4,8,29,58,116,232,841,1682,3364,6728

Greatest Common Factor

We found the factors and prime factorization of 6722 and 6728. The biggest common factor number is the GCF number.
So the greatest common factor 6722 and 6728 is 2.

Also check out the Least Common Multiple of 6722 and 6728

Properties of GCF 6722 and 6728

(i) The GCF of 6722 and 6728 is associative

GCF of 6722 and 6728 = GCF of 6728 and 6722

Related Greatest Common Factor of 6722

Related Greatest Common Factor of 6728

Frequently Asked Questions on GCF of 6722 and 6728

1. What is the GCF of 6722 and 6728?

Answer: GCF of 6722 and 6728 is 2.

2. What are the Factors of 6722?

Answer: Factors of 6722 are 1, 2, 3361, 6722. There are 4 integers that are factors of 6722. The greatest factor of 6722 is 6722.

3. What are the Factors of 6728?

Answer: Factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728. There are 12 integers that are factors of 6728. The greatest factor of 6728 is 6728.

4. How to Find the GCF of 6722 and 6728?

Answer:

Greatest Common Factor of 6722 and 6728 = 2

Step 1: Find the prime factorization of 6722

6722 = 2 x 3361

Step 2: Find the prime factorization of 6728

6728 = 2 x 2 x 2 x 29 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 6722 and 6728 is 2