Greatest Common Factor of 40009 and 40014

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 40009, 40014 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40009 and 40014 is 1.

GCF(40009,40014) = 1

GCF of 40009 and 40014

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

GCF of:
and

Greatest Common Factor of 40009 and 40014

GCF of 40009 and 40014 is 1

Prime Factorization of 40009


40009 40009
1

Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:

40009 = 400091

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.Prime factorization of 40014 in exponential form is:

40014 = 21×34×131×191

∴ So by taking common prime factors GCF of 40009 and 40014 is 1

Greatest Common Factor of 40009 and 40014 by matching factors method

Factors of 40009

List of positive integer factors of 40009 that divides 40009 without a remainder.

1,40009

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

Greatest Common Factor

We found the factors and prime factorization of 40009 and 40014. The biggest common factor number is the GCF number.
So the greatest common factor 40009 and 40014 is 1.

Also check out the Least Common Multiple of 40009 and 40014

Properties of GCF 40009 and 40014

(i) The GCF of 40009 and 40014 is associative

GCF of 40009 and 40014 = GCF of 40014 and 40009

Related Greatest Common Factor of 40009

Related Greatest Common Factor of 40014

Frequently Asked Questions on GCF of 40009 and 40014

1. What is the GCF of 40009 and 40014?

Answer: GCF of 40009 and 40014 is 1.

2. What are the Factors of 40009?

Answer: Factors of 40009 are 1, 40009. There are 2 integers that are factors of 40009. The greatest factor of 40009 is 40009.

3. 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.

4. How to Find the GCF of 40009 and 40014?

Answer:

Greatest Common Factor of 40009 and 40014 = 1

Step 1: Find the prime factorization of 40009

40009 = 40009

Step 2: Find the prime factorization of 40014

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

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 40009 and 40014 is 1