Greatest Common Factor of 5733 and 5736

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 5733, 5736 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5733 and 5736 is 3.

GCF(5733,5736) = 3

GCF of 5733 and 5736

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

GCF of:
and

Greatest Common Factor of 5733 and 5736

GCF of 5733 and 5736 is 3

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

Prime Factorization of 5736


2 5736
2 2868
2 1434
3 717
239 239
1

Prime factors of 5736 are 2,3,239. Prime factorization of 5736 in exponential form is:

5736 = 23×31×2391

∴ So by taking common prime factors GCF of 5733 and 5736 is 3

Greatest Common Factor of 5733 and 5736 by matching factors method

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

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors and prime factorization of 5733 and 5736. The biggest common factor number is the GCF number.
So the greatest common factor 5733 and 5736 is 3.

Also check out the Least Common Multiple of 5733 and 5736

Properties of GCF 5733 and 5736

(i) The GCF of 5733 and 5736 is associative

GCF of 5733 and 5736 = GCF of 5736 and 5733

Related Greatest Common Factor of 5733

Related Greatest Common Factor of 5736

Frequently Asked Questions on GCF of 5733 and 5736

1. What is the GCF of 5733 and 5736?

Answer: GCF of 5733 and 5736 is 3.

2. 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.

3. What are the Factors of 5736?

Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.

4. How to Find the GCF of 5733 and 5736?

Answer:

Greatest Common Factor of 5733 and 5736 = 3

Step 1: Find the prime factorization of 5733

5733 = 3 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 5736

5736 = 2 x 2 x 2 x 3 x 239

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 5733 and 5736 is 3