Greatest Common Factor of 4001 and 4009

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 4001, 4009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4001 and 4009 is 1.

GCF(4001,4009) = 1

GCF of 4001 and 4009

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

GCF of:
and

Greatest Common Factor of 4001 and 4009

GCF of 4001 and 4009 is 1

Prime Factorization of 4001


4001 4001
1

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

4001 = 40011

Prime Factorization of 4009


19 4009
211 211
1

Prime factors of 4009 are 19.Prime factorization of 4009 in exponential form is:

4009 = 191×2111

∴ So by taking common prime factors GCF of 4001 and 4009 is 1

Greatest Common Factor of 4001 and 4009 by matching factors method

Factors of 4001

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

1,4001

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1,19,211,4009

Greatest Common Factor

We found the factors and prime factorization of 4001 and 4009. The biggest common factor number is the GCF number.
So the greatest common factor 4001 and 4009 is 1.

Also check out the Least Common Multiple of 4001 and 4009

Properties of GCF 4001 and 4009

(i) The GCF of 4001 and 4009 is associative

GCF of 4001 and 4009 = GCF of 4009 and 4001

Related Greatest Common Factor of 4001

Related Greatest Common Factor of 4009

Frequently Asked Questions on GCF of 4001 and 4009

1. What is the GCF of 4001 and 4009?

Answer: GCF of 4001 and 4009 is 1.

2. 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.

3. What are the Factors of 4009?

Answer: Factors of 4009 are 1, 19, 211, 4009. There are 4 integers that are factors of 4009. The greatest factor of 4009 is 4009.

4. How to Find the GCF of 4001 and 4009?

Answer:

Greatest Common Factor of 4001 and 4009 = 1

Step 1: Find the prime factorization of 4001

4001 = 4001

Step 2: Find the prime factorization of 4009

4009 = 19 x 211

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 4001 and 4009 is 1