Greatest Common Factor of 40016 and 40022

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 40016, 40022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40016 and 40022 is 2.

GCF(40016,40022) = 2

GCF of 40016 and 40022

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

GCF of:
and

Greatest Common Factor of 40016 and 40022

GCF of 40016 and 40022 is 2

Prime Factorization of 40016


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

Prime factors of 40016 are 2,41,61. Prime factorization of 40016 in exponential form is:

40016 = 24×411×611

Prime Factorization of 40022


2 40022
20011 20011
1

Prime factors of 40022 are 2,20011. Prime factorization of 40022 in exponential form is:

40022 = 21×200111

∴ So by taking common prime factors GCF of 40016 and 40022 is 2

Greatest Common Factor of 40016 and 40022 by matching factors method

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

Factors of 40022

List of positive integer factors of 40022 that divides 40022 without a remainder.

1,2,20011,40022

Greatest Common Factor

We found the factors and prime factorization of 40016 and 40022. The biggest common factor number is the GCF number.
So the greatest common factor 40016 and 40022 is 2.

Also check out the Least Common Multiple of 40016 and 40022

Properties of GCF 40016 and 40022

(i) The GCF of 40016 and 40022 is associative

GCF of 40016 and 40022 = GCF of 40022 and 40016

Related Greatest Common Factor of 40016

Related Greatest Common Factor of 40022

Frequently Asked Questions on GCF of 40016 and 40022

1. What is the GCF of 40016 and 40022?

Answer: GCF of 40016 and 40022 is 2.

2. 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.

3. What are the Factors of 40022?

Answer: Factors of 40022 are 1, 2, 20011, 40022. There are 4 integers that are factors of 40022. The greatest factor of 40022 is 40022.

4. How to Find the GCF of 40016 and 40022?

Answer:

Greatest Common Factor of 40016 and 40022 = 2

Step 1: Find the prime factorization of 40016

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

Step 2: Find the prime factorization of 40022

40022 = 2 x 20011

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 40016 and 40022 is 2