Greatest Common Factor of 40012 and 40020

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, 40020 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40012 and 40020 is 4.

GCF(40012,40020) = 4

GCF of 40012 and 40020

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

GCF of:
and

Greatest Common Factor of 40012 and 40020

GCF of 40012 and 40020 is 4

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 40020


2 40020
2 20010
3 10005
5 3335
23 667
29 29
1

Prime factors of 40020 are 2,3,5,23,29. Prime factorization of 40020 in exponential form is:

40020 = 22×31×51×231×291

∴ So by taking common prime factors GCF of 40012 and 40020 is 4

Greatest Common Factor of 40012 and 40020 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 40020

List of positive integer factors of 40020 that divides 40020 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,29,30,46,58,60,69,87,92,115,116,138,145,174,230,276,290,345,348,435,460,580,667,690,870,1334,1380,1740,2001,2668,3335,4002,6670,8004,10005,13340,20010,40020

Greatest Common Factor

We found the factors and prime factorization of 40012 and 40020. The biggest common factor number is the GCF number.
So the greatest common factor 40012 and 40020 is 4.

Also check out the Least Common Multiple of 40012 and 40020

Properties of GCF 40012 and 40020

(i) The GCF of 40012 and 40020 is associative

GCF of 40012 and 40020 = GCF of 40020 and 40012

Related Greatest Common Factor of 40012

Related Greatest Common Factor of 40020

Frequently Asked Questions on GCF of 40012 and 40020

1. What is the GCF of 40012 and 40020?

Answer: GCF of 40012 and 40020 is 4.

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 40020?

Answer: Factors of 40020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 29, 30, 46, 58, 60, 69, 87, 92, 115, 116, 138, 145, 174, 230, 276, 290, 345, 348, 435, 460, 580, 667, 690, 870, 1334, 1380, 1740, 2001, 2668, 3335, 4002, 6670, 8004, 10005, 13340, 20010, 40020. There are 48 integers that are factors of 40020. The greatest factor of 40020 is 40020.

4. How to Find the GCF of 40012 and 40020?

Answer:

Greatest Common Factor of 40012 and 40020 = 4

Step 1: Find the prime factorization of 40012

40012 = 2 x 2 x 7 x 1429

Step 2: Find the prime factorization of 40020

40020 = 2 x 2 x 3 x 5 x 23 x 29

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 40012 and 40020 is 4