Greatest Common Factor of 5742 and 5750

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 5742, 5750 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5742 and 5750 is 2.

GCF(5742,5750) = 2

GCF of 5742 and 5750

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

GCF of:
and

Greatest Common Factor of 5742 and 5750

GCF of 5742 and 5750 is 2

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

Prime Factorization of 5750


2 5750
5 2875
5 575
5 115
23 23
1

Prime factors of 5750 are 2,5,23. Prime factorization of 5750 in exponential form is:

5750 = 21×53×231

∴ So by taking common prime factors GCF of 5742 and 5750 is 2

Greatest Common Factor of 5742 and 5750 by matching factors method

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

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750

Greatest Common Factor

We found the factors and prime factorization of 5742 and 5750. The biggest common factor number is the GCF number.
So the greatest common factor 5742 and 5750 is 2.

Also check out the Least Common Multiple of 5742 and 5750

Properties of GCF 5742 and 5750

(i) The GCF of 5742 and 5750 is associative

GCF of 5742 and 5750 = GCF of 5750 and 5742

Related Greatest Common Factor of 5742

Related Greatest Common Factor of 5750

Frequently Asked Questions on GCF of 5742 and 5750

1. What is the GCF of 5742 and 5750?

Answer: GCF of 5742 and 5750 is 2.

2. 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.

3. What are the Factors of 5750?

Answer: Factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750. There are 16 integers that are factors of 5750. The greatest factor of 5750 is 5750.

4. How to Find the GCF of 5742 and 5750?

Answer:

Greatest Common Factor of 5742 and 5750 = 2

Step 1: Find the prime factorization of 5742

5742 = 2 x 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 5750

5750 = 2 x 5 x 5 x 5 x 23

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 5742 and 5750 is 2