Greatest Common Factor of 5013 and 5019

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 5013, 5019 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5013 and 5019 is 3.

GCF(5013,5019) = 3

GCF of 5013 and 5019

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

GCF of:
and

Greatest Common Factor of 5013 and 5019

GCF of 5013 and 5019 is 3

Prime Factorization of 5013


3 5013
3 1671
557 557
1

Prime factors of 5013 are 3,557. Prime factorization of 5013 in exponential form is:

5013 = 32×5571

Prime Factorization of 5019


3 5019
7 1673
239 239
1

Prime factors of 5019 are 3,7,239. Prime factorization of 5019 in exponential form is:

5019 = 31×71×2391

∴ So by taking common prime factors GCF of 5013 and 5019 is 3

Greatest Common Factor of 5013 and 5019 by matching factors method

Factors of 5013

List of positive integer factors of 5013 that divides 5013 without a remainder.

1,3,9,557,1671,5013

Factors of 5019

List of positive integer factors of 5019 that divides 5019 without a remainder.

1,3,7,21,239,717,1673,5019

Greatest Common Factor

We found the factors and prime factorization of 5013 and 5019. The biggest common factor number is the GCF number.
So the greatest common factor 5013 and 5019 is 3.

Also check out the Least Common Multiple of 5013 and 5019

Properties of GCF 5013 and 5019

(i) The GCF of 5013 and 5019 is associative

GCF of 5013 and 5019 = GCF of 5019 and 5013

Related Greatest Common Factor of 5013

Related Greatest Common Factor of 5019

Frequently Asked Questions on GCF of 5013 and 5019

1. What is the GCF of 5013 and 5019?

Answer: GCF of 5013 and 5019 is 3.

2. What are the Factors of 5013?

Answer: Factors of 5013 are 1, 3, 9, 557, 1671, 5013. There are 6 integers that are factors of 5013. The greatest factor of 5013 is 5013.

3. What are the Factors of 5019?

Answer: Factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019. There are 8 integers that are factors of 5019. The greatest factor of 5019 is 5019.

4. How to Find the GCF of 5013 and 5019?

Answer:

Greatest Common Factor of 5013 and 5019 = 3

Step 1: Find the prime factorization of 5013

5013 = 3 x 3 x 557

Step 2: Find the prime factorization of 5019

5019 = 3 x 7 x 239

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 5013 and 5019 is 3