Greatest Common Factor of 5740 and 5746

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, 5746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5740 and 5746 is 2.

GCF(5740,5746) = 2

GCF of 5740 and 5746

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

GCF of:
and

Greatest Common Factor of 5740 and 5746

GCF of 5740 and 5746 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 5746


2 5746
13 2873
13 221
17 17
1

Prime factors of 5746 are 2,13,17. Prime factorization of 5746 in exponential form is:

5746 = 21×132×171

∴ So by taking common prime factors GCF of 5740 and 5746 is 2

Greatest Common Factor of 5740 and 5746 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 5746

List of positive integer factors of 5746 that divides 5746 without a remainder.

1,2,13,17,26,34,169,221,338,442,2873,5746

Greatest Common Factor

We found the factors and prime factorization of 5740 and 5746. The biggest common factor number is the GCF number.
So the greatest common factor 5740 and 5746 is 2.

Also check out the Least Common Multiple of 5740 and 5746

Properties of GCF 5740 and 5746

(i) The GCF of 5740 and 5746 is associative

GCF of 5740 and 5746 = GCF of 5746 and 5740

Related Greatest Common Factor of 5740

Related Greatest Common Factor of 5746

Frequently Asked Questions on GCF of 5740 and 5746

1. What is the GCF of 5740 and 5746?

Answer: GCF of 5740 and 5746 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 5746?

Answer: Factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746. There are 12 integers that are factors of 5746. The greatest factor of 5746 is 5746.

4. How to Find the GCF of 5740 and 5746?

Answer:

Greatest Common Factor of 5740 and 5746 = 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 5746

5746 = 2 x 13 x 13 x 17

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 5746 is 2