Greatest Common Factor of 8000 and 8001

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, 8001 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8000 and 8001 is 1.

GCF(8000,8001) = 1

GCF of 8000 and 8001

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

GCF of:
and

Greatest Common Factor of 8000 and 8001

GCF of 8000 and 8001 is 1

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 8001


3 8001
3 2667
7 889
127 127
1

Prime factors of 8001 are 3,7,127. Prime factorization of 8001 in exponential form is:

8001 = 32×71×1271

∴ So by taking common prime factors GCF of 8000 and 8001 is 1

Greatest Common Factor of 8000 and 8001 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 8001

List of positive integer factors of 8001 that divides 8001 without a remainder.

1,3,7,9,21,63,127,381,889,1143,2667,8001

Greatest Common Factor

We found the factors and prime factorization of 8000 and 8001. The biggest common factor number is the GCF number.
So the greatest common factor 8000 and 8001 is 1.

Also check out the Least Common Multiple of 8000 and 8001

Properties of GCF 8000 and 8001

(i) The GCF of 8000 and 8001 is associative

GCF of 8000 and 8001 = GCF of 8001 and 8000

Related Greatest Common Factor of 8000

Related Greatest Common Factor of 8001

Frequently Asked Questions on GCF of 8000 and 8001

1. What is the GCF of 8000 and 8001?

Answer: GCF of 8000 and 8001 is 1.

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 8001?

Answer: Factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001. There are 12 integers that are factors of 8001. The greatest factor of 8001 is 8001.

4. How to Find the GCF of 8000 and 8001?

Answer:

Greatest Common Factor of 8000 and 8001 = 1

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 8001

8001 = 3 x 3 x 7 x 127

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 8000 and 8001 is 1