Greatest Common Factor of 2812 and 2820

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 2812, 2820 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2812 and 2820 is 4.

GCF(2812,2820) = 4

GCF of 2812 and 2820

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

GCF of:
and

Greatest Common Factor of 2812 and 2820

GCF of 2812 and 2820 is 4

Prime Factorization of 2812


2 2812
2 1406
19 703
37 37
1

Prime factors of 2812 are 2,19,37. Prime factorization of 2812 in exponential form is:

2812 = 22×191×371

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

∴ So by taking common prime factors GCF of 2812 and 2820 is 4

Greatest Common Factor of 2812 and 2820 by matching factors method

Factors of 2812

List of positive integer factors of 2812 that divides 2812 without a remainder.

1,2,4,19,37,38,74,76,148,703,1406,2812

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

Greatest Common Factor

We found the factors and prime factorization of 2812 and 2820. The biggest common factor number is the GCF number.
So the greatest common factor 2812 and 2820 is 4.

Also check out the Least Common Multiple of 2812 and 2820

Properties of GCF 2812 and 2820

(i) The GCF of 2812 and 2820 is associative

GCF of 2812 and 2820 = GCF of 2820 and 2812

Related Greatest Common Factor of 2812

Related Greatest Common Factor of 2820

Frequently Asked Questions on GCF of 2812 and 2820

1. What is the GCF of 2812 and 2820?

Answer: GCF of 2812 and 2820 is 4.

2. What are the Factors of 2812?

Answer: Factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812. There are 12 integers that are factors of 2812. The greatest factor of 2812 is 2812.

3. 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.

4. How to Find the GCF of 2812 and 2820?

Answer:

Greatest Common Factor of 2812 and 2820 = 4

Step 1: Find the prime factorization of 2812

2812 = 2 x 2 x 19 x 37

Step 2: Find the prime factorization of 2820

2820 = 2 x 2 x 3 x 5 x 47

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 2812 and 2820 is 4