Greatest Common Factor of 5740 and 5742

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, 5742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5740 and 5742 is 2.

GCF(5740,5742) = 2

GCF of 5740 and 5742

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

GCF of:
and

Greatest Common Factor of 5740 and 5742

GCF of 5740 and 5742 is 2

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 5742


2 5742
3 2871
3 957
11 319
29 29
1

Prime factors of 5742 are 2,3,11,29. Prime factorization of 5742 in exponential form is:

5742 = 21×32×111×291

∴ So by taking common prime factors GCF of 5740 and 5742 is 2

Greatest Common Factor of 5740 and 5742 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 5742

List of positive integer factors of 5742 that divides 5742 without a remainder.

1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742

Greatest Common Factor

We found the factors and prime factorization of 5740 and 5742. The biggest common factor number is the GCF number.
So the greatest common factor 5740 and 5742 is 2.

Also check out the Least Common Multiple of 5740 and 5742

Properties of GCF 5740 and 5742

(i) The GCF of 5740 and 5742 is associative

GCF of 5740 and 5742 = GCF of 5742 and 5740

Related Greatest Common Factor of 5740

Related Greatest Common Factor of 5742

Frequently Asked Questions on GCF of 5740 and 5742

1. What is the GCF of 5740 and 5742?

Answer: GCF of 5740 and 5742 is 2.

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 5742?

Answer: Factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742. There are 24 integers that are factors of 5742. The greatest factor of 5742 is 5742.

4. How to Find the GCF of 5740 and 5742?

Answer:

Greatest Common Factor of 5740 and 5742 = 2

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 5742

5742 = 2 x 3 x 3 x 11 x 29

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5740 and 5742 is 2