Greatest Common Factor of 4784 and 4792

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 4784, 4792 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4784 and 4792 is 8.

GCF(4784,4792) = 8

GCF of 4784 and 4792

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

GCF of:
and

Greatest Common Factor of 4784 and 4792

GCF of 4784 and 4792 is 8

Prime Factorization of 4784


2 4784
2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 4784 are 2,13,23. Prime factorization of 4784 in exponential form is:

4784 = 24×131×231

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

∴ So by taking common prime factors GCF of 4784 and 4792 is 8

Greatest Common Factor of 4784 and 4792 by matching factors method

Factors of 4784

List of positive integer factors of 4784 that divides 4784 without a remainder.

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Factors of 4792

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

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

Greatest Common Factor

We found the factors and prime factorization of 4784 and 4792. The biggest common factor number is the GCF number.
So the greatest common factor 4784 and 4792 is 8.

Also check out the Least Common Multiple of 4784 and 4792

Properties of GCF 4784 and 4792

(i) The GCF of 4784 and 4792 is associative

GCF of 4784 and 4792 = GCF of 4792 and 4784

Related Greatest Common Factor of 4784

Related Greatest Common Factor of 4792

Frequently Asked Questions on GCF of 4784 and 4792

1. What is the GCF of 4784 and 4792?

Answer: GCF of 4784 and 4792 is 8.

2. What are the Factors of 4784?

Answer: Factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784. There are 20 integers that are factors of 4784. The greatest factor of 4784 is 4784.

3. 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.

4. How to Find the GCF of 4784 and 4792?

Answer:

Greatest Common Factor of 4784 and 4792 = 8

Step 1: Find the prime factorization of 4784

4784 = 2 x 2 x 2 x 2 x 13 x 23

Step 2: Find the prime factorization of 4792

4792 = 2 x 2 x 2 x 599

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4784 and 4792 is 8