Greatest Common Factor of 5724 and 5728

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 5724, 5728 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5724 and 5728 is 4.

GCF(5724,5728) = 4

GCF of 5724 and 5728

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

GCF of:
and

Greatest Common Factor of 5724 and 5728

GCF of 5724 and 5728 is 4

Prime Factorization of 5724


2 5724
2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 5724 are 2,3,53. Prime factorization of 5724 in exponential form is:

5724 = 22×33×531

Prime Factorization of 5728


2 5728
2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 5728 are 2,179. Prime factorization of 5728 in exponential form is:

5728 = 25×1791

∴ So by taking common prime factors GCF of 5724 and 5728 is 4

Greatest Common Factor of 5724 and 5728 by matching factors method

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Factors of 5728

List of positive integer factors of 5728 that divides 5728 without a remainder.

1,2,4,8,16,32,179,358,716,1432,2864,5728

Greatest Common Factor

We found the factors and prime factorization of 5724 and 5728. The biggest common factor number is the GCF number.
So the greatest common factor 5724 and 5728 is 4.

Also check out the Least Common Multiple of 5724 and 5728

Properties of GCF 5724 and 5728

(i) The GCF of 5724 and 5728 is associative

GCF of 5724 and 5728 = GCF of 5728 and 5724

Related Greatest Common Factor of 5724

Related Greatest Common Factor of 5728

Frequently Asked Questions on GCF of 5724 and 5728

1. What is the GCF of 5724 and 5728?

Answer: GCF of 5724 and 5728 is 4.

2. What are the Factors of 5724?

Answer: Factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724. There are 24 integers that are factors of 5724. The greatest factor of 5724 is 5724.

3. What are the Factors of 5728?

Answer: Factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728. There are 12 integers that are factors of 5728. The greatest factor of 5728 is 5728.

4. How to Find the GCF of 5724 and 5728?

Answer:

Greatest Common Factor of 5724 and 5728 = 4

Step 1: Find the prime factorization of 5724

5724 = 2 x 2 x 3 x 3 x 3 x 53

Step 2: Find the prime factorization of 5728

5728 = 2 x 2 x 2 x 2 x 2 x 179

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 5724 and 5728 is 4