Greatest Common Factor of 2800 and 2804

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 2800, 2804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2800 and 2804 is 4.

GCF(2800,2804) = 4

GCF of 2800 and 2804

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

GCF of:
and

Greatest Common Factor of 2800 and 2804

GCF of 2800 and 2804 is 4

Prime Factorization of 2800


2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 2800 are 2,5,7. Prime factorization of 2800 in exponential form is:

2800 = 24×52×71

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

∴ So by taking common prime factors GCF of 2800 and 2804 is 4

Greatest Common Factor of 2800 and 2804 by matching factors method

Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800

Factors of 2804

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

1,2,4,701,1402,2804

Greatest Common Factor

We found the factors and prime factorization of 2800 and 2804. The biggest common factor number is the GCF number.
So the greatest common factor 2800 and 2804 is 4.

Also check out the Least Common Multiple of 2800 and 2804

Properties of GCF 2800 and 2804

(i) The GCF of 2800 and 2804 is associative

GCF of 2800 and 2804 = GCF of 2804 and 2800

Related Greatest Common Factor of 2800

Related Greatest Common Factor of 2804

Frequently Asked Questions on GCF of 2800 and 2804

1. What is the GCF of 2800 and 2804?

Answer: GCF of 2800 and 2804 is 4.

2. What are the Factors of 2800?

Answer: Factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800. There are 30 integers that are factors of 2800. The greatest factor of 2800 is 2800.

3. 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.

4. How to Find the GCF of 2800 and 2804?

Answer:

Greatest Common Factor of 2800 and 2804 = 4

Step 1: Find the prime factorization of 2800

2800 = 2 x 2 x 2 x 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 2804

2804 = 2 x 2 x 701

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 2800 and 2804 is 4