Greatest Common Factor of 4738 and 4742

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 4738, 4742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4738 and 4742 is 2.

GCF(4738,4742) = 2

GCF of 4738 and 4742

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

GCF of:
and

Greatest Common Factor of 4738 and 4742

GCF of 4738 and 4742 is 2

Prime Factorization of 4738


2 4738
23 2369
103 103
1

Prime factors of 4738 are 2,23,103. Prime factorization of 4738 in exponential form is:

4738 = 21×231×1031

Prime Factorization of 4742


2 4742
2371 2371
1

Prime factors of 4742 are 2,2371. Prime factorization of 4742 in exponential form is:

4742 = 21×23711

∴ So by taking common prime factors GCF of 4738 and 4742 is 2

Greatest Common Factor of 4738 and 4742 by matching factors method

Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1,2,23,46,103,206,2369,4738

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1,2,2371,4742

Greatest Common Factor

We found the factors and prime factorization of 4738 and 4742. The biggest common factor number is the GCF number.
So the greatest common factor 4738 and 4742 is 2.

Also check out the Least Common Multiple of 4738 and 4742

Properties of GCF 4738 and 4742

(i) The GCF of 4738 and 4742 is associative

GCF of 4738 and 4742 = GCF of 4742 and 4738

Related Greatest Common Factor of 4738

Related Greatest Common Factor of 4742

Frequently Asked Questions on GCF of 4738 and 4742

1. What is the GCF of 4738 and 4742?

Answer: GCF of 4738 and 4742 is 2.

2. What are the Factors of 4738?

Answer: Factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738. There are 8 integers that are factors of 4738. The greatest factor of 4738 is 4738.

3. What are the Factors of 4742?

Answer: Factors of 4742 are 1, 2, 2371, 4742. There are 4 integers that are factors of 4742. The greatest factor of 4742 is 4742.

4. How to Find the GCF of 4738 and 4742?

Answer:

Greatest Common Factor of 4738 and 4742 = 2

Step 1: Find the prime factorization of 4738

4738 = 2 x 23 x 103

Step 2: Find the prime factorization of 4742

4742 = 2 x 2371

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 4738 and 4742 is 2