Greatest Common Factor of 40012 and 40018

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 40012, 40018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40012 and 40018 is 2.

GCF(40012,40018) = 2

GCF of 40012 and 40018

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

GCF of:
and

Greatest Common Factor of 40012 and 40018

GCF of 40012 and 40018 is 2

Prime Factorization of 40012


2 40012
2 20006
7 10003
1429 1429
1

Prime factors of 40012 are 2,7,1429. Prime factorization of 40012 in exponential form is:

40012 = 22×71×14291

Prime Factorization of 40018


2 40018
11 20009
17 1819
107 107
1

Prime factors of 40018 are 2,11,17,107. Prime factorization of 40018 in exponential form is:

40018 = 21×111×171×1071

∴ So by taking common prime factors GCF of 40012 and 40018 is 2

Greatest Common Factor of 40012 and 40018 by matching factors method

Factors of 40012

List of positive integer factors of 40012 that divides 40012 without a remainder.

1,2,4,7,14,28,1429,2858,5716,10003,20006,40012

Factors of 40018

List of positive integer factors of 40018 that divides 40018 without a remainder.

1,2,11,17,22,34,107,187,214,374,1177,1819,2354,3638,20009,40018

Greatest Common Factor

We found the factors and prime factorization of 40012 and 40018. The biggest common factor number is the GCF number.
So the greatest common factor 40012 and 40018 is 2.

Also check out the Least Common Multiple of 40012 and 40018

Properties of GCF 40012 and 40018

(i) The GCF of 40012 and 40018 is associative

GCF of 40012 and 40018 = GCF of 40018 and 40012

Frequently Asked Questions on GCF of 40012 and 40018

1. What is the GCF of 40012 and 40018?

Answer: GCF of 40012 and 40018 is 2.

2. What are the Factors of 40012?

Answer: Factors of 40012 are 1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012. There are 12 integers that are factors of 40012. The greatest factor of 40012 is 40012.

3. What are the Factors of 40018?

Answer: Factors of 40018 are 1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009, 40018. There are 16 integers that are factors of 40018. The greatest factor of 40018 is 40018.

4. How to Find the GCF of 40012 and 40018?

Answer:

Greatest Common Factor of 40012 and 40018 = 2

Step 1: Find the prime factorization of 40012

40012 = 2 x 2 x 7 x 1429

Step 2: Find the prime factorization of 40018

40018 = 2 x 11 x 17 x 107

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 40012 and 40018 is 2