Greatest Common Factor of 2824 and 2828

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 2824, 2828 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2824 and 2828 is 4.

GCF(2824,2828) = 4

GCF of 2824 and 2828

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

GCF of:
and

Greatest Common Factor of 2824 and 2828

GCF of 2824 and 2828 is 4

Prime Factorization of 2824


2 2824
2 1412
2 706
353 353
1

Prime factors of 2824 are 2,353. Prime factorization of 2824 in exponential form is:

2824 = 23×3531

Prime Factorization of 2828


2 2828
2 1414
7 707
101 101
1

Prime factors of 2828 are 2,7,101. Prime factorization of 2828 in exponential form is:

2828 = 22×71×1011

∴ So by taking common prime factors GCF of 2824 and 2828 is 4

Greatest Common Factor of 2824 and 2828 by matching factors method

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1,2,4,8,353,706,1412,2824

Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1,2,4,7,14,28,101,202,404,707,1414,2828

Greatest Common Factor

We found the factors and prime factorization of 2824 and 2828. The biggest common factor number is the GCF number.
So the greatest common factor 2824 and 2828 is 4.

Also check out the Least Common Multiple of 2824 and 2828

Properties of GCF 2824 and 2828

(i) The GCF of 2824 and 2828 is associative

GCF of 2824 and 2828 = GCF of 2828 and 2824

Related Greatest Common Factor of 2824

Related Greatest Common Factor of 2828

Frequently Asked Questions on GCF of 2824 and 2828

1. What is the GCF of 2824 and 2828?

Answer: GCF of 2824 and 2828 is 4.

2. What are the Factors of 2824?

Answer: Factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824. There are 8 integers that are factors of 2824. The greatest factor of 2824 is 2824.

3. What are the Factors of 2828?

Answer: Factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828. There are 12 integers that are factors of 2828. The greatest factor of 2828 is 2828.

4. How to Find the GCF of 2824 and 2828?

Answer:

Greatest Common Factor of 2824 and 2828 = 4

Step 1: Find the prime factorization of 2824

2824 = 2 x 2 x 2 x 353

Step 2: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

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 2824 and 2828 is 4