Greatest Common Factor of 2820 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 2820, 2828 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2820 and 2828 is 4.

GCF(2820,2828) = 4

GCF of 2820 and 2828

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

GCF of:
and

Greatest Common Factor of 2820 and 2828

GCF of 2820 and 2828 is 4

Prime Factorization of 2820


2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 2820 are 2,3,5,47. Prime factorization of 2820 in exponential form is:

2820 = 22×31×51×471

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 2820 and 2828 is 4

Greatest Common Factor of 2820 and 2828 by matching factors method

Factors of 2820

List of positive integer factors of 2820 that divides 2820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820

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 2820 and 2828. The biggest common factor number is the GCF number.
So the greatest common factor 2820 and 2828 is 4.

Also check out the Least Common Multiple of 2820 and 2828

Properties of GCF 2820 and 2828

(i) The GCF of 2820 and 2828 is associative

GCF of 2820 and 2828 = GCF of 2828 and 2820

Related Greatest Common Factor of 2820

Related Greatest Common Factor of 2828

Frequently Asked Questions on GCF of 2820 and 2828

1. What is the GCF of 2820 and 2828?

Answer: GCF of 2820 and 2828 is 4.

2. What are the Factors of 2820?

Answer: Factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820. There are 24 integers that are factors of 2820. The greatest factor of 2820 is 2820.

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 2820 and 2828?

Answer:

Greatest Common Factor of 2820 and 2828 = 4

Step 1: Find the prime factorization of 2820

2820 = 2 x 2 x 3 x 5 x 47

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 2820 and 2828 is 4