Greatest Common Factor of 6728 and 6732

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 6728, 6732 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6728 and 6732 is 4.

GCF(6728,6732) = 4

GCF of 6728 and 6732

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

GCF of:
and

Greatest Common Factor of 6728 and 6732

GCF of 6728 and 6732 is 4

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

Prime Factorization of 6732


2 6732
2 3366
3 1683
3 561
11 187
17 17
1

Prime factors of 6732 are 2,3,11,17. Prime factorization of 6732 in exponential form is:

6732 = 22×32×111×171

∴ So by taking common prime factors GCF of 6728 and 6732 is 4

Greatest Common Factor of 6728 and 6732 by matching factors method

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

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Greatest Common Factor

We found the factors and prime factorization of 6728 and 6732. The biggest common factor number is the GCF number.
So the greatest common factor 6728 and 6732 is 4.

Also check out the Least Common Multiple of 6728 and 6732

Properties of GCF 6728 and 6732

(i) The GCF of 6728 and 6732 is associative

GCF of 6728 and 6732 = GCF of 6732 and 6728

Related Greatest Common Factor of 6728

Related Greatest Common Factor of 6732

Frequently Asked Questions on GCF of 6728 and 6732

1. What is the GCF of 6728 and 6732?

Answer: GCF of 6728 and 6732 is 4.

2. 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.

3. What are the Factors of 6732?

Answer: Factors of 6732 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732. There are 36 integers that are factors of 6732. The greatest factor of 6732 is 6732.

4. How to Find the GCF of 6728 and 6732?

Answer:

Greatest Common Factor of 6728 and 6732 = 4

Step 1: Find the prime factorization of 6728

6728 = 2 x 2 x 2 x 29 x 29

Step 2: Find the prime factorization of 6732

6732 = 2 x 2 x 3 x 3 x 11 x 17

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 6728 and 6732 is 4