Greatest Common Factor of 2828 and 2836

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 2828, 2836 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2828 and 2836 is 4.

GCF(2828,2836) = 4

GCF of 2828 and 2836

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

GCF of:
and

Greatest Common Factor of 2828 and 2836

GCF of 2828 and 2836 is 4

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

Prime Factorization of 2836


2 2836
2 1418
709 709
1

Prime factors of 2836 are 2,709. Prime factorization of 2836 in exponential form is:

2836 = 22×7091

∴ So by taking common prime factors GCF of 2828 and 2836 is 4

Greatest Common Factor of 2828 and 2836 by matching factors method

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

Factors of 2836

List of positive integer factors of 2836 that divides 2836 without a remainder.

1,2,4,709,1418,2836

Greatest Common Factor

We found the factors and prime factorization of 2828 and 2836. The biggest common factor number is the GCF number.
So the greatest common factor 2828 and 2836 is 4.

Also check out the Least Common Multiple of 2828 and 2836

Properties of GCF 2828 and 2836

(i) The GCF of 2828 and 2836 is associative

GCF of 2828 and 2836 = GCF of 2836 and 2828

Related Greatest Common Factor of 2828

Related Greatest Common Factor of 2836

Frequently Asked Questions on GCF of 2828 and 2836

1. What is the GCF of 2828 and 2836?

Answer: GCF of 2828 and 2836 is 4.

2. 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.

3. What are the Factors of 2836?

Answer: Factors of 2836 are 1, 2, 4, 709, 1418, 2836. There are 6 integers that are factors of 2836. The greatest factor of 2836 is 2836.

4. How to Find the GCF of 2828 and 2836?

Answer:

Greatest Common Factor of 2828 and 2836 = 4

Step 1: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

Step 2: Find the prime factorization of 2836

2836 = 2 x 2 x 709

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 2828 and 2836 is 4