Greatest Common Factor of 5740 and 5745

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 5740, 5745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5740 and 5745 is 5.

GCF(5740,5745) = 5

GCF of 5740 and 5745

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

GCF of:
and

Greatest Common Factor of 5740 and 5745

GCF of 5740 and 5745 is 5

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

Prime Factorization of 5745


3 5745
5 1915
383 383
1

Prime factors of 5745 are 3,5,383. Prime factorization of 5745 in exponential form is:

5745 = 31×51×3831

∴ So by taking common prime factors GCF of 5740 and 5745 is 5

Greatest Common Factor of 5740 and 5745 by matching factors method

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

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1,3,5,15,383,1149,1915,5745

Greatest Common Factor

We found the factors and prime factorization of 5740 and 5745. The biggest common factor number is the GCF number.
So the greatest common factor 5740 and 5745 is 5.

Also check out the Least Common Multiple of 5740 and 5745

Properties of GCF 5740 and 5745

(i) The GCF of 5740 and 5745 is associative

GCF of 5740 and 5745 = GCF of 5745 and 5740

Related Greatest Common Factor of 5740

Related Greatest Common Factor of 5745

Frequently Asked Questions on GCF of 5740 and 5745

1. What is the GCF of 5740 and 5745?

Answer: GCF of 5740 and 5745 is 5.

2. 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.

3. What are the Factors of 5745?

Answer: Factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745. There are 8 integers that are factors of 5745. The greatest factor of 5745 is 5745.

4. How to Find the GCF of 5740 and 5745?

Answer:

Greatest Common Factor of 5740 and 5745 = 5

Step 1: Find the prime factorization of 5740

5740 = 2 x 2 x 5 x 7 x 41

Step 2: Find the prime factorization of 5745

5745 = 3 x 5 x 383

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 5740 and 5745 is 5