Greatest Common Factor of 5735 and 5739

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 5735, 5739 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5735 and 5739 is 1.

GCF(5735,5739) = 1

GCF of 5735 and 5739

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

GCF of:
and

Greatest Common Factor of 5735 and 5739

GCF of 5735 and 5739 is 1

Prime Factorization of 5735


5 5735
31 1147
37 37
1

Prime factors of 5735 are 5,31,37. Prime factorization of 5735 in exponential form is:

5735 = 51×311×371

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

∴ So by taking common prime factors GCF of 5735 and 5739 is 1

Greatest Common Factor of 5735 and 5739 by matching factors method

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Factors of 5739

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

1,3,1913,5739

Greatest Common Factor

We found the factors and prime factorization of 5735 and 5739. The biggest common factor number is the GCF number.
So the greatest common factor 5735 and 5739 is 1.

Also check out the Least Common Multiple of 5735 and 5739

Properties of GCF 5735 and 5739

(i) The GCF of 5735 and 5739 is associative

GCF of 5735 and 5739 = GCF of 5739 and 5735

Related Greatest Common Factor of 5735

Related Greatest Common Factor of 5739

Frequently Asked Questions on GCF of 5735 and 5739

1. What is the GCF of 5735 and 5739?

Answer: GCF of 5735 and 5739 is 1.

2. What are the Factors of 5735?

Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.

3. 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.

4. How to Find the GCF of 5735 and 5739?

Answer:

Greatest Common Factor of 5735 and 5739 = 1

Step 1: Find the prime factorization of 5735

5735 = 5 x 31 x 37

Step 2: Find the prime factorization of 5739

5739 = 3 x 1913

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 5735 and 5739 is 1