Greatest Common Factor of 4792 and 4796

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 4792, 4796 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4792 and 4796 is 4.

GCF(4792,4796) = 4

GCF of 4792 and 4796

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

GCF of:
and

Greatest Common Factor of 4792 and 4796

GCF of 4792 and 4796 is 4

Prime Factorization of 4792


2 4792
2 2396
2 1198
599 599
1

Prime factors of 4792 are 2,599. Prime factorization of 4792 in exponential form is:

4792 = 23×5991

Prime Factorization of 4796


2 4796
2 2398
11 1199
109 109
1

Prime factors of 4796 are 2,11,109. Prime factorization of 4796 in exponential form is:

4796 = 22×111×1091

∴ So by taking common prime factors GCF of 4792 and 4796 is 4

Greatest Common Factor of 4792 and 4796 by matching factors method

Factors of 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1,2,4,8,599,1198,2396,4792

Factors of 4796

List of positive integer factors of 4796 that divides 4796 without a remainder.

1,2,4,11,22,44,109,218,436,1199,2398,4796

Greatest Common Factor

We found the factors and prime factorization of 4792 and 4796. The biggest common factor number is the GCF number.
So the greatest common factor 4792 and 4796 is 4.

Also check out the Least Common Multiple of 4792 and 4796

Properties of GCF 4792 and 4796

(i) The GCF of 4792 and 4796 is associative

GCF of 4792 and 4796 = GCF of 4796 and 4792

Related Greatest Common Factor of 4792

Related Greatest Common Factor of 4796

Frequently Asked Questions on GCF of 4792 and 4796

1. What is the GCF of 4792 and 4796?

Answer: GCF of 4792 and 4796 is 4.

2. What are the Factors of 4792?

Answer: Factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792. There are 8 integers that are factors of 4792. The greatest factor of 4792 is 4792.

3. What are the Factors of 4796?

Answer: Factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796. There are 12 integers that are factors of 4796. The greatest factor of 4796 is 4796.

4. How to Find the GCF of 4792 and 4796?

Answer:

Greatest Common Factor of 4792 and 4796 = 4

Step 1: Find the prime factorization of 4792

4792 = 2 x 2 x 2 x 599

Step 2: Find the prime factorization of 4796

4796 = 2 x 2 x 11 x 109

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 4792 and 4796 is 4