Greatest Common Factor of 4000 and 4001

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 4000, 4001 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4000 and 4001 is 1.

GCF(4000,4001) = 1

GCF of 4000 and 4001

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

GCF of:
and

Greatest Common Factor of 4000 and 4001

GCF of 4000 and 4001 is 1

Prime Factorization of 4000


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

Prime factors of 4000 are 2,5. Prime factorization of 4000 in exponential form is:

4000 = 25×53

Prime Factorization of 4001


4001 4001
1

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

4001 = 40011

∴ So by taking common prime factors GCF of 4000 and 4001 is 1

Greatest Common Factor of 4000 and 4001 by matching factors method

Factors of 4000

List of positive integer factors of 4000 that divides 4000 without a remainder.

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

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1,4001

Greatest Common Factor

We found the factors and prime factorization of 4000 and 4001. The biggest common factor number is the GCF number.
So the greatest common factor 4000 and 4001 is 1.

Also check out the Least Common Multiple of 4000 and 4001

Properties of GCF 4000 and 4001

(i) The GCF of 4000 and 4001 is associative

GCF of 4000 and 4001 = GCF of 4001 and 4000

Related Greatest Common Factor of 4000

Related Greatest Common Factor of 4001

Frequently Asked Questions on GCF of 4000 and 4001

1. What is the GCF of 4000 and 4001?

Answer: GCF of 4000 and 4001 is 1.

2. What are the Factors of 4000?

Answer: Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. There are 24 integers that are factors of 4000. The greatest factor of 4000 is 4000.

3. What are the Factors of 4001?

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

4. How to Find the GCF of 4000 and 4001?

Answer:

Greatest Common Factor of 4000 and 4001 = 1

Step 1: Find the prime factorization of 4000

4000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

Step 2: Find the prime factorization of 4001

4001 = 4001

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 4000 and 4001 is 1