Greatest Common Factor of 4828 and 4836

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, 4836 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4828 and 4836 is 4.

GCF(4828,4836) = 4

GCF of 4828 and 4836

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

GCF of:
and

Greatest Common Factor of 4828 and 4836

GCF of 4828 and 4836 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 4836


2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 4836 are 2,3,13,31. Prime factorization of 4836 in exponential form is:

4836 = 22×31×131×311

∴ So by taking common prime factors GCF of 4828 and 4836 is 4

Greatest Common Factor of 4828 and 4836 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 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836

Greatest Common Factor

We found the factors and prime factorization of 4828 and 4836. The biggest common factor number is the GCF number.
So the greatest common factor 4828 and 4836 is 4.

Also check out the Least Common Multiple of 4828 and 4836

Properties of GCF 4828 and 4836

(i) The GCF of 4828 and 4836 is associative

GCF of 4828 and 4836 = GCF of 4836 and 4828

Related Greatest Common Factor of 4828

Related Greatest Common Factor of 4836

Frequently Asked Questions on GCF of 4828 and 4836

1. What is the GCF of 4828 and 4836?

Answer: GCF of 4828 and 4836 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 4836?

Answer: Factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836. There are 24 integers that are factors of 4836. The greatest factor of 4836 is 4836.

4. How to Find the GCF of 4828 and 4836?

Answer:

Greatest Common Factor of 4828 and 4836 = 4

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 4836

4836 = 2 x 2 x 3 x 13 x 31

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 4836 is 4