Greatest Common Factor of 40012 and 40019

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, 40019 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40012 and 40019 is 7.

GCF(40012,40019) = 7

GCF of 40012 and 40019

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

GCF of:
and

Greatest Common Factor of 40012 and 40019

GCF of 40012 and 40019 is 7

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 40019


7 40019
5717 5717
1

Prime factors of 40019 are 7,5717. Prime factorization of 40019 in exponential form is:

40019 = 71×57171

∴ So by taking common prime factors GCF of 40012 and 40019 is 7

Greatest Common Factor of 40012 and 40019 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 40019

List of positive integer factors of 40019 that divides 40019 without a remainder.

1,7,5717,40019

Greatest Common Factor

We found the factors and prime factorization of 40012 and 40019. The biggest common factor number is the GCF number.
So the greatest common factor 40012 and 40019 is 7.

Also check out the Least Common Multiple of 40012 and 40019

Properties of GCF 40012 and 40019

(i) The GCF of 40012 and 40019 is associative

GCF of 40012 and 40019 = GCF of 40019 and 40012

Related Greatest Common Factor of 40012

Related Greatest Common Factor of 40019

Frequently Asked Questions on GCF of 40012 and 40019

1. What is the GCF of 40012 and 40019?

Answer: GCF of 40012 and 40019 is 7.

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 40019?

Answer: Factors of 40019 are 1, 7, 5717, 40019. There are 4 integers that are factors of 40019. The greatest factor of 40019 is 40019.

4. How to Find the GCF of 40012 and 40019?

Answer:

Greatest Common Factor of 40012 and 40019 = 7

Step 1: Find the prime factorization of 40012

40012 = 2 x 2 x 7 x 1429

Step 2: Find the prime factorization of 40019

40019 = 7 x 5717

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

GCF = 7

Step 4: Therefore, the greatest common factor of 40012 and 40019 is 7