Greatest Common Factor of 8000 and 8002

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 8000, 8002 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8000 and 8002 is 2.

GCF(8000,8002) = 2

GCF of 8000 and 8002

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

GCF of:
and

Greatest Common Factor of 8000 and 8002

GCF of 8000 and 8002 is 2

Prime Factorization of 8000


2 8000
2 4000
2 2000
2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 8000 are 2,5. Prime factorization of 8000 in exponential form is:

8000 = 26×53

Prime Factorization of 8002


2 8002
4001 4001
1

Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:

8002 = 21×40011

∴ So by taking common prime factors GCF of 8000 and 8002 is 2

Greatest Common Factor of 8000 and 8002 by matching factors method

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

Greatest Common Factor

We found the factors and prime factorization of 8000 and 8002. The biggest common factor number is the GCF number.
So the greatest common factor 8000 and 8002 is 2.

Also check out the Least Common Multiple of 8000 and 8002

Properties of GCF 8000 and 8002

(i) The GCF of 8000 and 8002 is associative

GCF of 8000 and 8002 = GCF of 8002 and 8000

Related Greatest Common Factor of 8000

Related Greatest Common Factor of 8002

Frequently Asked Questions on GCF of 8000 and 8002

1. What is the GCF of 8000 and 8002?

Answer: GCF of 8000 and 8002 is 2.

2. What are the Factors of 8000?

Answer: Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000. There are 28 integers that are factors of 8000. The greatest factor of 8000 is 8000.

3. What are the Factors of 8002?

Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.

4. How to Find the GCF of 8000 and 8002?

Answer:

Greatest Common Factor of 8000 and 8002 = 2

Step 1: Find the prime factorization of 8000

8000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

Step 2: Find the prime factorization of 8002

8002 = 2 x 4001

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8000 and 8002 is 2