Greatest Common Factor of 5735 and 5740

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, 5740 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5735 and 5740 is 5.

GCF(5735,5740) = 5

GCF of 5735 and 5740

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

GCF of:
and

Greatest Common Factor of 5735 and 5740

GCF of 5735 and 5740 is 5

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 5740


2 5740
2 2870
5 1435
7 287
41 41
1

Prime factors of 5740 are 2,5,7,41. Prime factorization of 5740 in exponential form is:

5740 = 22×51×71×411

∴ So by taking common prime factors GCF of 5735 and 5740 is 5

Greatest Common Factor of 5735 and 5740 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 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740

Greatest Common Factor

We found the factors and prime factorization of 5735 and 5740. The biggest common factor number is the GCF number.
So the greatest common factor 5735 and 5740 is 5.

Also check out the Least Common Multiple of 5735 and 5740

Properties of GCF 5735 and 5740

(i) The GCF of 5735 and 5740 is associative

GCF of 5735 and 5740 = GCF of 5740 and 5735

Related Greatest Common Factor of 5735

Related Greatest Common Factor of 5740

Frequently Asked Questions on GCF of 5735 and 5740

1. What is the GCF of 5735 and 5740?

Answer: GCF of 5735 and 5740 is 5.

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 5740?

Answer: Factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740. There are 24 integers that are factors of 5740. The greatest factor of 5740 is 5740.

4. How to Find the GCF of 5735 and 5740?

Answer:

Greatest Common Factor of 5735 and 5740 = 5

Step 1: Find the prime factorization of 5735

5735 = 5 x 31 x 37

Step 2: Find the prime factorization of 5740

5740 = 2 x 2 x 5 x 7 x 41

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5735 and 5740 is 5