Greatest Common Factor of 10014 and 10017

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, 10017 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10014 and 10017 is 3.

GCF(10014,10017) = 3

GCF of 10014 and 10017

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

GCF of:
and

Greatest Common Factor of 10014 and 10017

GCF of 10014 and 10017 is 3

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 10017


3 10017
3 3339
3 1113
7 371
53 53
1

Prime factors of 10017 are 3,7,53. Prime factorization of 10017 in exponential form is:

10017 = 33×71×531

∴ So by taking common prime factors GCF of 10014 and 10017 is 3

Greatest Common Factor of 10014 and 10017 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 10017

List of positive integer factors of 10017 that divides 10017 without a remainder.

1,3,7,9,21,27,53,63,159,189,371,477,1113,1431,3339,10017

Greatest Common Factor

We found the factors and prime factorization of 10014 and 10017. The biggest common factor number is the GCF number.
So the greatest common factor 10014 and 10017 is 3.

Also check out the Least Common Multiple of 10014 and 10017

Properties of GCF 10014 and 10017

(i) The GCF of 10014 and 10017 is associative

GCF of 10014 and 10017 = GCF of 10017 and 10014

Related Greatest Common Factor of 10014

Related Greatest Common Factor of 10017

Frequently Asked Questions on GCF of 10014 and 10017

1. What is the GCF of 10014 and 10017?

Answer: GCF of 10014 and 10017 is 3.

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 10017?

Answer: Factors of 10017 are 1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339, 10017. There are 16 integers that are factors of 10017. The greatest factor of 10017 is 10017.

4. How to Find the GCF of 10014 and 10017?

Answer:

Greatest Common Factor of 10014 and 10017 = 3

Step 1: Find the prime factorization of 10014

10014 = 2 x 3 x 1669

Step 2: Find the prime factorization of 10017

10017 = 3 x 3 x 3 x 7 x 53

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

GCF = 3

Step 4: Therefore, the greatest common factor of 10014 and 10017 is 3