Greatest Common Factor of 5735 and 5737

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, 5737 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5735 and 5737 is 1.

GCF(5735,5737) = 1

GCF of 5735 and 5737

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

GCF of:
and

Greatest Common Factor of 5735 and 5737

GCF of 5735 and 5737 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 5737


5737 5737
1

Prime factors of 5737 are 5737. Prime factorization of 5737 in exponential form is:

5737 = 57371

∴ So by taking common prime factors GCF of 5735 and 5737 is 1

Greatest Common Factor of 5735 and 5737 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 5737

List of positive integer factors of 5737 that divides 5737 without a remainder.

1,5737

Greatest Common Factor

We found the factors and prime factorization of 5735 and 5737. The biggest common factor number is the GCF number.
So the greatest common factor 5735 and 5737 is 1.

Also check out the Least Common Multiple of 5735 and 5737

Properties of GCF 5735 and 5737

(i) The GCF of 5735 and 5737 is associative

GCF of 5735 and 5737 = GCF of 5737 and 5735

Related Greatest Common Factor of 5735

Related Greatest Common Factor of 5737

Frequently Asked Questions on GCF of 5735 and 5737

1. What is the GCF of 5735 and 5737?

Answer: GCF of 5735 and 5737 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 5737?

Answer: Factors of 5737 are 1, 5737. There are 2 integers that are factors of 5737. The greatest factor of 5737 is 5737.

4. How to Find the GCF of 5735 and 5737?

Answer:

Greatest Common Factor of 5735 and 5737 = 1

Step 1: Find the prime factorization of 5735

5735 = 5 x 31 x 37

Step 2: Find the prime factorization of 5737

5737 = 5737

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 5737 is 1