Greatest Common Factor of 40006 and 40012

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 40006, 40012 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40006 and 40012 is 2.

GCF(40006,40012) = 2

GCF of 40006 and 40012

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

GCF of:
and

Greatest Common Factor of 40006 and 40012

GCF of 40006 and 40012 is 2

Prime Factorization of 40006


2 40006
83 20003
241 241
1

Prime factors of 40006 are 2,83,241. Prime factorization of 40006 in exponential form is:

40006 = 21×831×2411

Prime Factorization of 40012


2 40012
2 20006
7 10003
1429 1429
1

Prime factors of 40012 are 2,7,1429. Prime factorization of 40012 in exponential form is:

40012 = 22×71×14291

∴ So by taking common prime factors GCF of 40006 and 40012 is 2

Greatest Common Factor of 40006 and 40012 by matching factors method

Factors of 40006

List of positive integer factors of 40006 that divides 40006 without a remainder.

1,2,83,166,241,482,20003,40006

Factors of 40012

List of positive integer factors of 40012 that divides 40012 without a remainder.

1,2,4,7,14,28,1429,2858,5716,10003,20006,40012

Greatest Common Factor

We found the factors and prime factorization of 40006 and 40012. The biggest common factor number is the GCF number.
So the greatest common factor 40006 and 40012 is 2.

Also check out the Least Common Multiple of 40006 and 40012

Properties of GCF 40006 and 40012

(i) The GCF of 40006 and 40012 is associative

GCF of 40006 and 40012 = GCF of 40012 and 40006

Related Greatest Common Factor of 40006

Related Greatest Common Factor of 40012

Frequently Asked Questions on GCF of 40006 and 40012

1. What is the GCF of 40006 and 40012?

Answer: GCF of 40006 and 40012 is 2.

2. What are the Factors of 40006?

Answer: Factors of 40006 are 1, 2, 83, 166, 241, 482, 20003, 40006. There are 8 integers that are factors of 40006. The greatest factor of 40006 is 40006.

3. What are the Factors of 40012?

Answer: Factors of 40012 are 1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012. There are 12 integers that are factors of 40012. The greatest factor of 40012 is 40012.

4. How to Find the GCF of 40006 and 40012?

Answer:

Greatest Common Factor of 40006 and 40012 = 2

Step 1: Find the prime factorization of 40006

40006 = 2 x 83 x 241

Step 2: Find the prime factorization of 40012

40012 = 2 x 2 x 7 x 1429

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 40006 and 40012 is 2