Greatest Common Factor of 5735 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 5735, 5741 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5735 and 5741 is 1.

GCF(5735,5741) = 1

GCF of 5735 and 5741

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

GCF of:
and

Greatest Common Factor of 5735 and 5741

GCF of 5735 and 5741 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 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 5735 and 5741 is 1

Greatest Common Factor of 5735 and 5741 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 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 5735 and 5741. The biggest common factor number is the GCF number.
So the greatest common factor 5735 and 5741 is 1.

Also check out the Least Common Multiple of 5735 and 5741

Properties of GCF 5735 and 5741

(i) The GCF of 5735 and 5741 is associative

GCF of 5735 and 5741 = GCF of 5741 and 5735

Related Greatest Common Factor of 5735

Related Greatest Common Factor of 5741

Frequently Asked Questions on GCF of 5735 and 5741

1. What is the GCF of 5735 and 5741?

Answer: GCF of 5735 and 5741 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 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 5735 and 5741?

Answer:

Greatest Common Factor of 5735 and 5741 = 1

Step 1: Find the prime factorization of 5735

5735 = 5 x 31 x 37

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 5735 and 5741 is 1