Greatest Common Factor of 4828 and 4832

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 4828, 4832 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4828 and 4832 is 4.

GCF(4828,4832) = 4

GCF of 4828 and 4832

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

GCF of:
and

Greatest Common Factor of 4828 and 4832

GCF of 4828 and 4832 is 4

Prime Factorization of 4828


2 4828
2 2414
17 1207
71 71
1

Prime factors of 4828 are 2,17,71. Prime factorization of 4828 in exponential form is:

4828 = 22×171×711

Prime Factorization of 4832


2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 4832 are 2,151. Prime factorization of 4832 in exponential form is:

4832 = 25×1511

∴ So by taking common prime factors GCF of 4828 and 4832 is 4

Greatest Common Factor of 4828 and 4832 by matching factors method

Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1,2,4,17,34,68,71,142,284,1207,2414,4828

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1,2,4,8,16,32,151,302,604,1208,2416,4832

Greatest Common Factor

We found the factors and prime factorization of 4828 and 4832. The biggest common factor number is the GCF number.
So the greatest common factor 4828 and 4832 is 4.

Also check out the Least Common Multiple of 4828 and 4832

Properties of GCF 4828 and 4832

(i) The GCF of 4828 and 4832 is associative

GCF of 4828 and 4832 = GCF of 4832 and 4828

Related Greatest Common Factor of 4828

Related Greatest Common Factor of 4832

Frequently Asked Questions on GCF of 4828 and 4832

1. What is the GCF of 4828 and 4832?

Answer: GCF of 4828 and 4832 is 4.

2. What are the Factors of 4828?

Answer: Factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. There are 12 integers that are factors of 4828. The greatest factor of 4828 is 4828.

3. What are the Factors of 4832?

Answer: Factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832. There are 12 integers that are factors of 4832. The greatest factor of 4832 is 4832.

4. How to Find the GCF of 4828 and 4832?

Answer:

Greatest Common Factor of 4828 and 4832 = 4

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 4832

4832 = 2 x 2 x 2 x 2 x 2 x 151

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 4828 and 4832 is 4