Greatest Common Factor of 40015 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 40015, 40020 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40015 and 40020 is 5.

GCF(40015,40020) = 5

GCF of 40015 and 40020

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

GCF of:
and

Greatest Common Factor of 40015 and 40020

GCF of 40015 and 40020 is 5

Prime Factorization of 40015


5 40015
53 8003
151 151
1

Prime factors of 40015 are 5,53,151. Prime factorization of 40015 in exponential form is:

40015 = 51×531×1511

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 40015 and 40020 is 5

Greatest Common Factor of 40015 and 40020 by matching factors method

Factors of 40015

List of positive integer factors of 40015 that divides 40015 without a remainder.

1,5,53,151,265,755,8003,40015

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 40015 and 40020. The biggest common factor number is the GCF number.
So the greatest common factor 40015 and 40020 is 5.

Also check out the Least Common Multiple of 40015 and 40020

Properties of GCF 40015 and 40020

(i) The GCF of 40015 and 40020 is associative

GCF of 40015 and 40020 = GCF of 40020 and 40015

Related Greatest Common Factor of 40015

Related Greatest Common Factor of 40020

Frequently Asked Questions on GCF of 40015 and 40020

1. What is the GCF of 40015 and 40020?

Answer: GCF of 40015 and 40020 is 5.

2. What are the Factors of 40015?

Answer: Factors of 40015 are 1, 5, 53, 151, 265, 755, 8003, 40015. There are 8 integers that are factors of 40015. The greatest factor of 40015 is 40015.

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 40015 and 40020?

Answer:

Greatest Common Factor of 40015 and 40020 = 5

Step 1: Find the prime factorization of 40015

40015 = 5 x 53 x 151

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 = 5

Step 4: Therefore, the greatest common factor of 40015 and 40020 is 5