Greatest Common Factor of 5738 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 5738, 5742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5738 and 5742 is 2.

GCF(5738,5742) = 2

GCF of 5738 and 5742

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

GCF of:
and

Greatest Common Factor of 5738 and 5742

GCF of 5738 and 5742 is 2

Prime Factorization of 5738


2 5738
19 2869
151 151
1

Prime factors of 5738 are 2,19,151. Prime factorization of 5738 in exponential form is:

5738 = 21×191×1511

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 5738 and 5742 is 2

Greatest Common Factor of 5738 and 5742 by matching factors method

Factors of 5738

List of positive integer factors of 5738 that divides 5738 without a remainder.

1,2,19,38,151,302,2869,5738

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 5738 and 5742. The biggest common factor number is the GCF number.
So the greatest common factor 5738 and 5742 is 2.

Also check out the Least Common Multiple of 5738 and 5742

Properties of GCF 5738 and 5742

(i) The GCF of 5738 and 5742 is associative

GCF of 5738 and 5742 = GCF of 5742 and 5738

Related Greatest Common Factor of 5738

Related Greatest Common Factor of 5742

Frequently Asked Questions on GCF of 5738 and 5742

1. What is the GCF of 5738 and 5742?

Answer: GCF of 5738 and 5742 is 2.

2. What are the Factors of 5738?

Answer: Factors of 5738 are 1, 2, 19, 38, 151, 302, 2869, 5738. There are 8 integers that are factors of 5738. The greatest factor of 5738 is 5738.

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 5738 and 5742?

Answer:

Greatest Common Factor of 5738 and 5742 = 2

Step 1: Find the prime factorization of 5738

5738 = 2 x 19 x 151

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 5738 and 5742 is 2