Greatest Common Factor of 2804 and 2812

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 2804, 2812 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2804 and 2812 is 4.

GCF(2804,2812) = 4

GCF of 2804 and 2812

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

GCF of:
and

Greatest Common Factor of 2804 and 2812

GCF of 2804 and 2812 is 4

Prime Factorization of 2804


2 2804
2 1402
701 701
1

Prime factors of 2804 are 2,701. Prime factorization of 2804 in exponential form is:

2804 = 22×7011

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

∴ So by taking common prime factors GCF of 2804 and 2812 is 4

Greatest Common Factor of 2804 and 2812 by matching factors method

Factors of 2804

List of positive integer factors of 2804 that divides 2804 without a remainder.

1,2,4,701,1402,2804

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

Greatest Common Factor

We found the factors and prime factorization of 2804 and 2812. The biggest common factor number is the GCF number.
So the greatest common factor 2804 and 2812 is 4.

Also check out the Least Common Multiple of 2804 and 2812

Properties of GCF 2804 and 2812

(i) The GCF of 2804 and 2812 is associative

GCF of 2804 and 2812 = GCF of 2812 and 2804

Related Greatest Common Factor of 2804

Related Greatest Common Factor of 2812

Frequently Asked Questions on GCF of 2804 and 2812

1. What is the GCF of 2804 and 2812?

Answer: GCF of 2804 and 2812 is 4.

2. What are the Factors of 2804?

Answer: Factors of 2804 are 1, 2, 4, 701, 1402, 2804. There are 6 integers that are factors of 2804. The greatest factor of 2804 is 2804.

3. 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.

4. How to Find the GCF of 2804 and 2812?

Answer:

Greatest Common Factor of 2804 and 2812 = 4

Step 1: Find the prime factorization of 2804

2804 = 2 x 2 x 701

Step 2: Find the prime factorization of 2812

2812 = 2 x 2 x 19 x 37

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 2804 and 2812 is 4