Greatest Common Factor of 5739 and 5741

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 5739, 5741 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5739 and 5741 is 1.

GCF(5739,5741) = 1

GCF of 5739 and 5741

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

GCF of:
and

Greatest Common Factor of 5739 and 5741

GCF of 5739 and 5741 is 1

Prime Factorization of 5739


3 5739
1913 1913
1

Prime factors of 5739 are 3,1913. Prime factorization of 5739 in exponential form is:

5739 = 31×19131

Prime Factorization of 5741


5741 5741
1

Prime factors of 5741 are 5741. Prime factorization of 5741 in exponential form is:

5741 = 57411

∴ So by taking common prime factors GCF of 5739 and 5741 is 1

Greatest Common Factor of 5739 and 5741 by matching factors method

Factors of 5739

List of positive integer factors of 5739 that divides 5739 without a remainder.

1,3,1913,5739

Factors of 5741

List of positive integer factors of 5741 that divides 5741 without a remainder.

1,5741

Greatest Common Factor

We found the factors and prime factorization of 5739 and 5741. The biggest common factor number is the GCF number.
So the greatest common factor 5739 and 5741 is 1.

Also check out the Least Common Multiple of 5739 and 5741

Properties of GCF 5739 and 5741

(i) The GCF of 5739 and 5741 is associative

GCF of 5739 and 5741 = GCF of 5741 and 5739

Related Greatest Common Factor of 5739

Related Greatest Common Factor of 5741

Frequently Asked Questions on GCF of 5739 and 5741

1. What is the GCF of 5739 and 5741?

Answer: GCF of 5739 and 5741 is 1.

2. What are the Factors of 5739?

Answer: Factors of 5739 are 1, 3, 1913, 5739. There are 4 integers that are factors of 5739. The greatest factor of 5739 is 5739.

3. What are the Factors of 5741?

Answer: Factors of 5741 are 1, 5741. There are 2 integers that are factors of 5741. The greatest factor of 5741 is 5741.

4. How to Find the GCF of 5739 and 5741?

Answer:

Greatest Common Factor of 5739 and 5741 = 1

Step 1: Find the prime factorization of 5739

5739 = 3 x 1913

Step 2: Find the prime factorization of 5741

5741 = 5741

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 5739 and 5741 is 1