Greatest Common Factor of 40009 and 40016

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 40009, 40016 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40009 and 40016 is 1.

GCF(40009,40016) = 1

GCF of 40009 and 40016

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

GCF of:
and

Greatest Common Factor of 40009 and 40016

GCF of 40009 and 40016 is 1

Prime Factorization of 40009


40009 40009
1

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

40009 = 400091

Prime Factorization of 40016


2 40016
2 20008
2 10004
2 5002
41 2501
61 61
1

Prime factors of 40016 are 2.Prime factorization of 40016 in exponential form is:

40016 = 24×411×611

∴ So by taking common prime factors GCF of 40009 and 40016 is 1

Greatest Common Factor of 40009 and 40016 by matching factors method

Factors of 40009

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

1,40009

Factors of 40016

List of positive integer factors of 40016 that divides 40016 without a remainder.

1,2,4,8,16,41,61,82,122,164,244,328,488,656,976,2501,5002,10004,20008,40016

Greatest Common Factor

We found the factors and prime factorization of 40009 and 40016. The biggest common factor number is the GCF number.
So the greatest common factor 40009 and 40016 is 1.

Also check out the Least Common Multiple of 40009 and 40016

Properties of GCF 40009 and 40016

(i) The GCF of 40009 and 40016 is associative

GCF of 40009 and 40016 = GCF of 40016 and 40009

Related Greatest Common Factor of 40009

Related Greatest Common Factor of 40016

Frequently Asked Questions on GCF of 40009 and 40016

1. What is the GCF of 40009 and 40016?

Answer: GCF of 40009 and 40016 is 1.

2. 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.

3. What are the Factors of 40016?

Answer: Factors of 40016 are 1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008, 40016. There are 20 integers that are factors of 40016. The greatest factor of 40016 is 40016.

4. How to Find the GCF of 40009 and 40016?

Answer:

Greatest Common Factor of 40009 and 40016 = 1

Step 1: Find the prime factorization of 40009

40009 = 40009

Step 2: Find the prime factorization of 40016

40016 = 2 x 2 x 2 x 2 x 41 x 61

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 40009 and 40016 is 1