Greatest Common Factor of 2800 and 2805

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, 2805 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2800 and 2805 is 5.

GCF(2800,2805) = 5

GCF of 2800 and 2805

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

GCF of:
and

Greatest Common Factor of 2800 and 2805

GCF of 2800 and 2805 is 5

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 2805


3 2805
5 935
11 187
17 17
1

Prime factors of 2805 are 3,5,11,17. Prime factorization of 2805 in exponential form is:

2805 = 31×51×111×171

∴ So by taking common prime factors GCF of 2800 and 2805 is 5

Greatest Common Factor of 2800 and 2805 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 2805

List of positive integer factors of 2805 that divides 2805 without a remainder.

1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805

Greatest Common Factor

We found the factors and prime factorization of 2800 and 2805. The biggest common factor number is the GCF number.
So the greatest common factor 2800 and 2805 is 5.

Also check out the Least Common Multiple of 2800 and 2805

Properties of GCF 2800 and 2805

(i) The GCF of 2800 and 2805 is associative

GCF of 2800 and 2805 = GCF of 2805 and 2800

Related Greatest Common Factor of 2800

Related Greatest Common Factor of 2805

Frequently Asked Questions on GCF of 2800 and 2805

1. What is the GCF of 2800 and 2805?

Answer: GCF of 2800 and 2805 is 5.

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 2805?

Answer: Factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805. There are 16 integers that are factors of 2805. The greatest factor of 2805 is 2805.

4. How to Find the GCF of 2800 and 2805?

Answer:

Greatest Common Factor of 2800 and 2805 = 5

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 2805

2805 = 3 x 5 x 11 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 2800 and 2805 is 5