Greatest Common Factor of 40014 and 40018

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, 40018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40014 and 40018 is 2.

GCF(40014,40018) = 2

GCF of 40014 and 40018

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

GCF of:
and

Greatest Common Factor of 40014 and 40018

GCF of 40014 and 40018 is 2

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 40018


2 40018
11 20009
17 1819
107 107
1

Prime factors of 40018 are 2,11,17,107. Prime factorization of 40018 in exponential form is:

40018 = 21×111×171×1071

∴ So by taking common prime factors GCF of 40014 and 40018 is 2

Greatest Common Factor of 40014 and 40018 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 40018

List of positive integer factors of 40018 that divides 40018 without a remainder.

1,2,11,17,22,34,107,187,214,374,1177,1819,2354,3638,20009,40018

Greatest Common Factor

We found the factors and prime factorization of 40014 and 40018. The biggest common factor number is the GCF number.
So the greatest common factor 40014 and 40018 is 2.

Also check out the Least Common Multiple of 40014 and 40018

Properties of GCF 40014 and 40018

(i) The GCF of 40014 and 40018 is associative

GCF of 40014 and 40018 = GCF of 40018 and 40014

Related Greatest Common Factor of 40014

Related Greatest Common Factor of 40018

Frequently Asked Questions on GCF of 40014 and 40018

1. What is the GCF of 40014 and 40018?

Answer: GCF of 40014 and 40018 is 2.

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 40018?

Answer: Factors of 40018 are 1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009, 40018. There are 16 integers that are factors of 40018. The greatest factor of 40018 is 40018.

4. How to Find the GCF of 40014 and 40018?

Answer:

Greatest Common Factor of 40014 and 40018 = 2

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 40018

40018 = 2 x 11 x 17 x 107

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

GCF = 2

Step 4: Therefore, the greatest common factor of 40014 and 40018 is 2