Greatest Common Factor of 5744 and 5752

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 5744, 5752 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5744 and 5752 is 8.

GCF(5744,5752) = 8

GCF of 5744 and 5752

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

GCF of:
and

Greatest Common Factor of 5744 and 5752

GCF of 5744 and 5752 is 8

Prime Factorization of 5744


2 5744
2 2872
2 1436
2 718
359 359
1

Prime factors of 5744 are 2,359. Prime factorization of 5744 in exponential form is:

5744 = 24×3591

Prime Factorization of 5752


2 5752
2 2876
2 1438
719 719
1

Prime factors of 5752 are 2,719. Prime factorization of 5752 in exponential form is:

5752 = 23×7191

∴ So by taking common prime factors GCF of 5744 and 5752 is 8

Greatest Common Factor of 5744 and 5752 by matching factors method

Factors of 5744

List of positive integer factors of 5744 that divides 5744 without a remainder.

1,2,4,8,16,359,718,1436,2872,5744

Factors of 5752

List of positive integer factors of 5752 that divides 5752 without a remainder.

1,2,4,8,719,1438,2876,5752

Greatest Common Factor

We found the factors and prime factorization of 5744 and 5752. The biggest common factor number is the GCF number.
So the greatest common factor 5744 and 5752 is 8.

Also check out the Least Common Multiple of 5744 and 5752

Properties of GCF 5744 and 5752

(i) The GCF of 5744 and 5752 is associative

GCF of 5744 and 5752 = GCF of 5752 and 5744

Related Greatest Common Factor of 5744

Related Greatest Common Factor of 5752

Frequently Asked Questions on GCF of 5744 and 5752

1. What is the GCF of 5744 and 5752?

Answer: GCF of 5744 and 5752 is 8.

2. What are the Factors of 5744?

Answer: Factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744. There are 10 integers that are factors of 5744. The greatest factor of 5744 is 5744.

3. What are the Factors of 5752?

Answer: Factors of 5752 are 1, 2, 4, 8, 719, 1438, 2876, 5752. There are 8 integers that are factors of 5752. The greatest factor of 5752 is 5752.

4. How to Find the GCF of 5744 and 5752?

Answer:

Greatest Common Factor of 5744 and 5752 = 8

Step 1: Find the prime factorization of 5744

5744 = 2 x 2 x 2 x 2 x 359

Step 2: Find the prime factorization of 5752

5752 = 2 x 2 x 2 x 719

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5744 and 5752 is 8