Greatest Common Factor of 5724 and 5727

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, 5727 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5724 and 5727 is 3.

GCF(5724,5727) = 3

GCF of 5724 and 5727

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

GCF of:
and

Greatest Common Factor of 5724 and 5727

GCF of 5724 and 5727 is 3

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 5727


3 5727
23 1909
83 83
1

Prime factors of 5727 are 3,23,83. Prime factorization of 5727 in exponential form is:

5727 = 31×231×831

∴ So by taking common prime factors GCF of 5724 and 5727 is 3

Greatest Common Factor of 5724 and 5727 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 5727

List of positive integer factors of 5727 that divides 5727 without a remainder.

1,3,23,69,83,249,1909,5727

Greatest Common Factor

We found the factors and prime factorization of 5724 and 5727. The biggest common factor number is the GCF number.
So the greatest common factor 5724 and 5727 is 3.

Also check out the Least Common Multiple of 5724 and 5727

Properties of GCF 5724 and 5727

(i) The GCF of 5724 and 5727 is associative

GCF of 5724 and 5727 = GCF of 5727 and 5724

Related Greatest Common Factor of 5724

Related Greatest Common Factor of 5727

Frequently Asked Questions on GCF of 5724 and 5727

1. What is the GCF of 5724 and 5727?

Answer: GCF of 5724 and 5727 is 3.

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 5727?

Answer: Factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727. There are 8 integers that are factors of 5727. The greatest factor of 5727 is 5727.

4. How to Find the GCF of 5724 and 5727?

Answer:

Greatest Common Factor of 5724 and 5727 = 3

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 5727

5727 = 3 x 23 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5724 and 5727 is 3