Greatest Common Factor of 40001 and 40009

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 40001, 40009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40001 and 40009 is 1.

GCF(40001,40009) = 1

GCF of 40001 and 40009

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

GCF of:
and

Greatest Common Factor of 40001 and 40009

GCF of 40001 and 40009 is 1

Prime Factorization of 40001


13 40001
17 3077
181 181
1

Prime factors of 40001 are 13,17,181. Prime factorization of 40001 in exponential form is:

40001 = 131×171×1811

Prime Factorization of 40009


40009 40009
1

Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:

40009 = 400091

∴ So by taking common prime factors GCF of 40001 and 40009 is 1

Greatest Common Factor of 40001 and 40009 by matching factors method

Factors of 40001

List of positive integer factors of 40001 that divides 40001 without a remainder.

1,13,17,181,221,2353,3077,40001

Factors of 40009

List of positive integer factors of 40009 that divides 40009 without a remainder.

1,40009

Greatest Common Factor

We found the factors and prime factorization of 40001 and 40009. The biggest common factor number is the GCF number.
So the greatest common factor 40001 and 40009 is 1.

Also check out the Least Common Multiple of 40001 and 40009

Properties of GCF 40001 and 40009

(i) The GCF of 40001 and 40009 is associative

GCF of 40001 and 40009 = GCF of 40009 and 40001

Frequently Asked Questions on GCF of 40001 and 40009

1. What is the GCF of 40001 and 40009?

Answer: GCF of 40001 and 40009 is 1.

2. What are the Factors of 40001?

Answer: Factors of 40001 are 1, 13, 17, 181, 221, 2353, 3077, 40001. There are 8 integers that are factors of 40001. The greatest factor of 40001 is 40001.

3. What are the Factors of 40009?

Answer: Factors of 40009 are 1, 40009. There are 2 integers that are factors of 40009. The greatest factor of 40009 is 40009.

4. How to Find the GCF of 40001 and 40009?

Answer:

Greatest Common Factor of 40001 and 40009 = 1

Step 1: Find the prime factorization of 40001

40001 = 13 x 17 x 181

Step 2: Find the prime factorization of 40009

40009 = 40009

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 40001 and 40009 is 1