Greatest Common Factor of 10013 and 10019

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 10013, 10019 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10013 and 10019 is 1.

GCF(10013,10019) = 1

GCF of 10013 and 10019

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

GCF of:
and

Greatest Common Factor of 10013 and 10019

GCF of 10013 and 10019 is 1

Prime Factorization of 10013


17 10013
19 589
31 31
1

Prime factors of 10013 are 17,19,31. Prime factorization of 10013 in exponential form is:

10013 = 171×191×311

Prime Factorization of 10019


43 10019
233 233
1

Prime factors of 10019 are 43,233. Prime factorization of 10019 in exponential form is:

10019 = 431×2331

∴ So by taking common prime factors GCF of 10013 and 10019 is 1

Greatest Common Factor of 10013 and 10019 by matching factors method

Factors of 10013

List of positive integer factors of 10013 that divides 10013 without a remainder.

1,17,19,31,323,527,589,10013

Factors of 10019

List of positive integer factors of 10019 that divides 10019 without a remainder.

1,43,233,10019

Greatest Common Factor

We found the factors and prime factorization of 10013 and 10019. The biggest common factor number is the GCF number.
So the greatest common factor 10013 and 10019 is 1.

Also check out the Least Common Multiple of 10013 and 10019

Properties of GCF 10013 and 10019

(i) The GCF of 10013 and 10019 is associative

GCF of 10013 and 10019 = GCF of 10019 and 10013

Related Greatest Common Factor of 10013

Related Greatest Common Factor of 10019

Frequently Asked Questions on GCF of 10013 and 10019

1. What is the GCF of 10013 and 10019?

Answer: GCF of 10013 and 10019 is 1.

2. What are the Factors of 10013?

Answer: Factors of 10013 are 1, 17, 19, 31, 323, 527, 589, 10013. There are 8 integers that are factors of 10013. The greatest factor of 10013 is 10013.

3. What are the Factors of 10019?

Answer: Factors of 10019 are 1, 43, 233, 10019. There are 4 integers that are factors of 10019. The greatest factor of 10019 is 10019.

4. How to Find the GCF of 10013 and 10019?

Answer:

Greatest Common Factor of 10013 and 10019 = 1

Step 1: Find the prime factorization of 10013

10013 = 17 x 19 x 31

Step 2: Find the prime factorization of 10019

10019 = 43 x 233

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 10013 and 10019 is 1