Greatest Common Factor of 5744 and 5749

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, 5749 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5744 and 5749 is 1.

GCF(5744,5749) = 1

GCF of 5744 and 5749

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

GCF of:
and

Greatest Common Factor of 5744 and 5749

GCF of 5744 and 5749 is 1

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 5749


5749 5749
1

Prime factors of 5749 are 5749. Prime factorization of 5749 in exponential form is:

5749 = 57491

∴ So by taking common prime factors GCF of 5744 and 5749 is 1

Greatest Common Factor of 5744 and 5749 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 5749

List of positive integer factors of 5749 that divides 5749 without a remainder.

1,5749

Greatest Common Factor

We found the factors and prime factorization of 5744 and 5749. The biggest common factor number is the GCF number.
So the greatest common factor 5744 and 5749 is 1.

Also check out the Least Common Multiple of 5744 and 5749

Properties of GCF 5744 and 5749

(i) The GCF of 5744 and 5749 is associative

GCF of 5744 and 5749 = GCF of 5749 and 5744

Related Greatest Common Factor of 5744

Related Greatest Common Factor of 5749

Frequently Asked Questions on GCF of 5744 and 5749

1. What is the GCF of 5744 and 5749?

Answer: GCF of 5744 and 5749 is 1.

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 5749?

Answer: Factors of 5749 are 1, 5749. There are 2 integers that are factors of 5749. The greatest factor of 5749 is 5749.

4. How to Find the GCF of 5744 and 5749?

Answer:

Greatest Common Factor of 5744 and 5749 = 1

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 5749

5749 = 5749

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5744 and 5749 is 1