Greatest Common Factor of 40014 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 40014, 40020 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40014 and 40020 is 6.

GCF(40014,40020) = 6

GCF of 40014 and 40020

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

GCF of:
and

Greatest Common Factor of 40014 and 40020

GCF of 40014 and 40020 is 6

Prime Factorization of 40014


2 40014
3 20007
3 6669
3 2223
3 741
13 247
19 19
1

Prime factors of 40014 are 2,3,13,19. Prime factorization of 40014 in exponential form is:

40014 = 21×34×131×191

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 40014 and 40020 is 6

Greatest Common Factor of 40014 and 40020 by matching factors method

Factors of 40014

List of positive integer factors of 40014 that divides 40014 without a remainder.

1,2,3,6,9,13,18,19,26,27,38,39,54,57,78,81,114,117,162,171,234,247,342,351,494,513,702,741,1026,1053,1482,1539,2106,2223,3078,4446,6669,13338,20007,40014

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 40014 and 40020. The biggest common factor number is the GCF number.
So the greatest common factor 40014 and 40020 is 6.

Also check out the Least Common Multiple of 40014 and 40020

Properties of GCF 40014 and 40020

(i) The GCF of 40014 and 40020 is associative

GCF of 40014 and 40020 = GCF of 40020 and 40014

Related Greatest Common Factor of 40014

Related Greatest Common Factor of 40020

Frequently Asked Questions on GCF of 40014 and 40020

1. What is the GCF of 40014 and 40020?

Answer: GCF of 40014 and 40020 is 6.

2. What are the Factors of 40014?

Answer: Factors of 40014 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81, 114, 117, 162, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1053, 1482, 1539, 2106, 2223, 3078, 4446, 6669, 13338, 20007, 40014. There are 40 integers that are factors of 40014. The greatest factor of 40014 is 40014.

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 40014 and 40020?

Answer:

Greatest Common Factor of 40014 and 40020 = 6

Step 1: Find the prime factorization of 40014

40014 = 2 x 3 x 3 x 3 x 3 x 13 x 19

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 3 = 6

Step 4: Therefore, the greatest common factor of 40014 and 40020 is 6