Greatest Common Factor of 10014 and 10022

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 10014, 10022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10014 and 10022 is 2.

GCF(10014,10022) = 2

GCF of 10014 and 10022

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

GCF of:
and

Greatest Common Factor of 10014 and 10022

GCF of 10014 and 10022 is 2

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

Prime Factorization of 10022


2 10022
5011 5011
1

Prime factors of 10022 are 2,5011. Prime factorization of 10022 in exponential form is:

10022 = 21×50111

∴ So by taking common prime factors GCF of 10014 and 10022 is 2

Greatest Common Factor of 10014 and 10022 by matching factors method

Factors of 10014

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

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

Factors of 10022

List of positive integer factors of 10022 that divides 10022 without a remainder.

1,2,5011,10022

Greatest Common Factor

We found the factors and prime factorization of 10014 and 10022. The biggest common factor number is the GCF number.
So the greatest common factor 10014 and 10022 is 2.

Also check out the Least Common Multiple of 10014 and 10022

Properties of GCF 10014 and 10022

(i) The GCF of 10014 and 10022 is associative

GCF of 10014 and 10022 = GCF of 10022 and 10014

Related Greatest Common Factor of 10014

Related Greatest Common Factor of 10022

Frequently Asked Questions on GCF of 10014 and 10022

1. What is the GCF of 10014 and 10022?

Answer: GCF of 10014 and 10022 is 2.

2. 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.

3. What are the Factors of 10022?

Answer: Factors of 10022 are 1, 2, 5011, 10022. There are 4 integers that are factors of 10022. The greatest factor of 10022 is 10022.

4. How to Find the GCF of 10014 and 10022?

Answer:

Greatest Common Factor of 10014 and 10022 = 2

Step 1: Find the prime factorization of 10014

10014 = 2 x 3 x 1669

Step 2: Find the prime factorization of 10022

10022 = 2 x 5011

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 10014 and 10022 is 2