Greatest Common Factor of 800 and 807

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 800, 807 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 800 and 807 is 1.

GCF(800,807) = 1

GCF of 800 and 807

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

GCF of:
and

Greatest Common Factor of 800 and 807

GCF of 800 and 807 is 1

Prime Factorization of 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

Prime Factorization of 807


3 807
269 269
1

Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:

807 = 31×2691

∴ So by taking common prime factors GCF of 800 and 807 is 1

Greatest Common Factor of 800 and 807 by matching factors method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors and prime factorization of 800 and 807. The biggest common factor number is the GCF number.
So the greatest common factor 800 and 807 is 1.

Also check out the Least Common Multiple of 800 and 807

Properties of GCF 800 and 807

(i) The GCF of 800 and 807 is associative

GCF of 800 and 807 = GCF of 807 and 800

Related Greatest Common Factor of 800

Related Greatest Common Factor of 807

Frequently Asked Questions on GCF of 800 and 807

1. What is the GCF of 800 and 807?

Answer: GCF of 800 and 807 is 1.

2. What are the Factors of 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

3. What are the Factors of 807?

Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.

4. How to Find the GCF of 800 and 807?

Answer:

Greatest Common Factor of 800 and 807 = 1

Step 1: Find the prime factorization of 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 807

807 = 3 x 269

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 800 and 807 is 1