Greatest Common Factor of 5727 and 5733

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 5727, 5733 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5727 and 5733 is 3.

GCF(5727,5733) = 3

GCF of 5727 and 5733

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

GCF of:
and

Greatest Common Factor of 5727 and 5733

GCF of 5727 and 5733 is 3

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

Prime Factorization of 5733


3 5733
3 1911
7 637
7 91
13 13
1

Prime factors of 5733 are 3,7,13. Prime factorization of 5733 in exponential form is:

5733 = 32×72×131

∴ So by taking common prime factors GCF of 5727 and 5733 is 3

Greatest Common Factor of 5727 and 5733 by matching factors method

Factors of 5727

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

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

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733

Greatest Common Factor

We found the factors and prime factorization of 5727 and 5733. The biggest common factor number is the GCF number.
So the greatest common factor 5727 and 5733 is 3.

Also check out the Least Common Multiple of 5727 and 5733

Properties of GCF 5727 and 5733

(i) The GCF of 5727 and 5733 is associative

GCF of 5727 and 5733 = GCF of 5733 and 5727

Related Greatest Common Factor of 5727

Related Greatest Common Factor of 5733

Frequently Asked Questions on GCF of 5727 and 5733

1. What is the GCF of 5727 and 5733?

Answer: GCF of 5727 and 5733 is 3.

2. 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.

3. What are the Factors of 5733?

Answer: Factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733. There are 18 integers that are factors of 5733. The greatest factor of 5733 is 5733.

4. How to Find the GCF of 5727 and 5733?

Answer:

Greatest Common Factor of 5727 and 5733 = 3

Step 1: Find the prime factorization of 5727

5727 = 3 x 23 x 83

Step 2: Find the prime factorization of 5733

5733 = 3 x 3 x 7 x 7 x 13

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 5727 and 5733 is 3