Greatest Common Factor of 6724 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 6724, 6732 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6724 and 6732 is 4.

GCF(6724,6732) = 4

GCF of 6724 and 6732

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

GCF of:
and

Greatest Common Factor of 6724 and 6732

GCF of 6724 and 6732 is 4

Prime Factorization of 6724


2 6724
2 3362
41 1681
41 41
1

Prime factors of 6724 are 2,41. Prime factorization of 6724 in exponential form is:

6724 = 22×412

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 6724 and 6732 is 4

Greatest Common Factor of 6724 and 6732 by matching factors method

Factors of 6724

List of positive integer factors of 6724 that divides 6724 without a remainder.

1,2,4,41,82,164,1681,3362,6724

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 6724 and 6732. The biggest common factor number is the GCF number.
So the greatest common factor 6724 and 6732 is 4.

Also check out the Least Common Multiple of 6724 and 6732

Properties of GCF 6724 and 6732

(i) The GCF of 6724 and 6732 is associative

GCF of 6724 and 6732 = GCF of 6732 and 6724

Related Greatest Common Factor of 6724

Related Greatest Common Factor of 6732

Frequently Asked Questions on GCF of 6724 and 6732

1. What is the GCF of 6724 and 6732?

Answer: GCF of 6724 and 6732 is 4.

2. What are the Factors of 6724?

Answer: Factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724. There are 9 integers that are factors of 6724. The greatest factor of 6724 is 6724.

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 6724 and 6732?

Answer:

Greatest Common Factor of 6724 and 6732 = 4

Step 1: Find the prime factorization of 6724

6724 = 2 x 2 x 41 x 41

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 6724 and 6732 is 4