Greatest Common Factor of 4744 and 4748

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 4744, 4748 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4744 and 4748 is 4.

GCF(4744,4748) = 4

GCF of 4744 and 4748

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

GCF of:
and

Greatest Common Factor of 4744 and 4748

GCF of 4744 and 4748 is 4

Prime Factorization of 4744


2 4744
2 2372
2 1186
593 593
1

Prime factors of 4744 are 2,593. Prime factorization of 4744 in exponential form is:

4744 = 23×5931

Prime Factorization of 4748


2 4748
2 2374
1187 1187
1

Prime factors of 4748 are 2,1187. Prime factorization of 4748 in exponential form is:

4748 = 22×11871

∴ So by taking common prime factors GCF of 4744 and 4748 is 4

Greatest Common Factor of 4744 and 4748 by matching factors method

Factors of 4744

List of positive integer factors of 4744 that divides 4744 without a remainder.

1,2,4,8,593,1186,2372,4744

Factors of 4748

List of positive integer factors of 4748 that divides 4748 without a remainder.

1,2,4,1187,2374,4748

Greatest Common Factor

We found the factors and prime factorization of 4744 and 4748. The biggest common factor number is the GCF number.
So the greatest common factor 4744 and 4748 is 4.

Also check out the Least Common Multiple of 4744 and 4748

Properties of GCF 4744 and 4748

(i) The GCF of 4744 and 4748 is associative

GCF of 4744 and 4748 = GCF of 4748 and 4744

Related Greatest Common Factor of 4744

Related Greatest Common Factor of 4748

Frequently Asked Questions on GCF of 4744 and 4748

1. What is the GCF of 4744 and 4748?

Answer: GCF of 4744 and 4748 is 4.

2. What are the Factors of 4744?

Answer: Factors of 4744 are 1, 2, 4, 8, 593, 1186, 2372, 4744. There are 8 integers that are factors of 4744. The greatest factor of 4744 is 4744.

3. What are the Factors of 4748?

Answer: Factors of 4748 are 1, 2, 4, 1187, 2374, 4748. There are 6 integers that are factors of 4748. The greatest factor of 4748 is 4748.

4. How to Find the GCF of 4744 and 4748?

Answer:

Greatest Common Factor of 4744 and 4748 = 4

Step 1: Find the prime factorization of 4744

4744 = 2 x 2 x 2 x 593

Step 2: Find the prime factorization of 4748

4748 = 2 x 2 x 1187

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4744 and 4748 is 4