Greatest Common Factor of 40020 and 40024

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 40020, 40024 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40020 and 40024 is 4.

GCF(40020,40024) = 4

GCF of 40020 and 40024

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

GCF of:
and

Greatest Common Factor of 40020 and 40024

GCF of 40020 and 40024 is 4

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

Prime Factorization of 40024


2 40024
2 20012
2 10006
5003 5003
1

Prime factors of 40024 are 2,5003. Prime factorization of 40024 in exponential form is:

40024 = 23×50031

∴ So by taking common prime factors GCF of 40020 and 40024 is 4

Greatest Common Factor of 40020 and 40024 by matching factors method

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

Factors of 40024

List of positive integer factors of 40024 that divides 40024 without a remainder.

1,2,4,8,5003,10006,20012,40024

Greatest Common Factor

We found the factors and prime factorization of 40020 and 40024. The biggest common factor number is the GCF number.
So the greatest common factor 40020 and 40024 is 4.

Also check out the Least Common Multiple of 40020 and 40024

Properties of GCF 40020 and 40024

(i) The GCF of 40020 and 40024 is associative

GCF of 40020 and 40024 = GCF of 40024 and 40020

Related Greatest Common Factor of 40020

Related Greatest Common Factor of 40024

Frequently Asked Questions on GCF of 40020 and 40024

1. What is the GCF of 40020 and 40024?

Answer: GCF of 40020 and 40024 is 4.

2. 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.

3. What are the Factors of 40024?

Answer: Factors of 40024 are 1, 2, 4, 8, 5003, 10006, 20012, 40024. There are 8 integers that are factors of 40024. The greatest factor of 40024 is 40024.

4. How to Find the GCF of 40020 and 40024?

Answer:

Greatest Common Factor of 40020 and 40024 = 4

Step 1: Find the prime factorization of 40020

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

Step 2: Find the prime factorization of 40024

40024 = 2 x 2 x 2 x 5003

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 40020 and 40024 is 4