Greatest Common Factor of 4732 and 4738

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 4732, 4738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4732 and 4738 is 2.

GCF(4732,4738) = 2

GCF of 4732 and 4738

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

GCF of:
and

Greatest Common Factor of 4732 and 4738

GCF of 4732 and 4738 is 2

Prime Factorization of 4732


2 4732
2 2366
7 1183
13 169
13 13
1

Prime factors of 4732 are 2,7,13. Prime factorization of 4732 in exponential form is:

4732 = 22×71×132

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

∴ So by taking common prime factors GCF of 4732 and 4738 is 2

Greatest Common Factor of 4732 and 4738 by matching factors method

Factors of 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732

Factors of 4738

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

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

Greatest Common Factor

We found the factors and prime factorization of 4732 and 4738. The biggest common factor number is the GCF number.
So the greatest common factor 4732 and 4738 is 2.

Also check out the Least Common Multiple of 4732 and 4738

Properties of GCF 4732 and 4738

(i) The GCF of 4732 and 4738 is associative

GCF of 4732 and 4738 = GCF of 4738 and 4732

Related Greatest Common Factor of 4732

Related Greatest Common Factor of 4738

Frequently Asked Questions on GCF of 4732 and 4738

1. What is the GCF of 4732 and 4738?

Answer: GCF of 4732 and 4738 is 2.

2. What are the Factors of 4732?

Answer: Factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732. There are 18 integers that are factors of 4732. The greatest factor of 4732 is 4732.

3. 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.

4. How to Find the GCF of 4732 and 4738?

Answer:

Greatest Common Factor of 4732 and 4738 = 2

Step 1: Find the prime factorization of 4732

4732 = 2 x 2 x 7 x 13 x 13

Step 2: Find the prime factorization of 4738

4738 = 2 x 23 x 103

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 4732 and 4738 is 2