Greatest Common Factor of 10006 and 10014

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 10006, 10014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10006 and 10014 is 2.

GCF(10006,10014) = 2

GCF of 10006 and 10014

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

GCF of:
and

Greatest Common Factor of 10006 and 10014

GCF of 10006 and 10014 is 2

Prime Factorization of 10006


2 10006
5003 5003
1

Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:

10006 = 21×50031

Prime Factorization of 10014


2 10014
3 5007
1669 1669
1

Prime factors of 10014 are 2,3,1669. Prime factorization of 10014 in exponential form is:

10014 = 21×31×16691

∴ So by taking common prime factors GCF of 10006 and 10014 is 2

Greatest Common Factor of 10006 and 10014 by matching factors method

Factors of 10006

List of positive integer factors of 10006 that divides 10006 without a remainder.

1,2,5003,10006

Factors of 10014

List of positive integer factors of 10014 that divides 10014 without a remainder.

1,2,3,6,1669,3338,5007,10014

Greatest Common Factor

We found the factors and prime factorization of 10006 and 10014. The biggest common factor number is the GCF number.
So the greatest common factor 10006 and 10014 is 2.

Also check out the Least Common Multiple of 10006 and 10014

Properties of GCF 10006 and 10014

(i) The GCF of 10006 and 10014 is associative

GCF of 10006 and 10014 = GCF of 10014 and 10006

Related Greatest Common Factor of 10006

Related Greatest Common Factor of 10014

Frequently Asked Questions on GCF of 10006 and 10014

1. What is the GCF of 10006 and 10014?

Answer: GCF of 10006 and 10014 is 2.

2. What are the Factors of 10006?

Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.

3. What are the Factors of 10014?

Answer: Factors of 10014 are 1, 2, 3, 6, 1669, 3338, 5007, 10014. There are 8 integers that are factors of 10014. The greatest factor of 10014 is 10014.

4. How to Find the GCF of 10006 and 10014?

Answer:

Greatest Common Factor of 10006 and 10014 = 2

Step 1: Find the prime factorization of 10006

10006 = 2 x 5003

Step 2: Find the prime factorization of 10014

10014 = 2 x 3 x 1669

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 10006 and 10014 is 2