Greatest Common Factor of 2800 and 2807

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, 2807 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2800 and 2807 is 7.

GCF(2800,2807) = 7

GCF of 2800 and 2807

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

GCF of:
and

Greatest Common Factor of 2800 and 2807

GCF of 2800 and 2807 is 7

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 2807


7 2807
401 401
1

Prime factors of 2807 are 7,401. Prime factorization of 2807 in exponential form is:

2807 = 71×4011

∴ So by taking common prime factors GCF of 2800 and 2807 is 7

Greatest Common Factor of 2800 and 2807 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 2807

List of positive integer factors of 2807 that divides 2807 without a remainder.

1,7,401,2807

Greatest Common Factor

We found the factors and prime factorization of 2800 and 2807. The biggest common factor number is the GCF number.
So the greatest common factor 2800 and 2807 is 7.

Also check out the Least Common Multiple of 2800 and 2807

Properties of GCF 2800 and 2807

(i) The GCF of 2800 and 2807 is associative

GCF of 2800 and 2807 = GCF of 2807 and 2800

Related Greatest Common Factor of 2800

Related Greatest Common Factor of 2807

Frequently Asked Questions on GCF of 2800 and 2807

1. What is the GCF of 2800 and 2807?

Answer: GCF of 2800 and 2807 is 7.

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 2807?

Answer: Factors of 2807 are 1, 7, 401, 2807. There are 4 integers that are factors of 2807. The greatest factor of 2807 is 2807.

4. How to Find the GCF of 2800 and 2807?

Answer:

Greatest Common Factor of 2800 and 2807 = 7

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 2807

2807 = 7 x 401

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2800 and 2807 is 7