Greatest Common Factor of 5010 and 5013

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 5010, 5013 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5010 and 5013 is 3.

GCF(5010,5013) = 3

GCF of 5010 and 5013

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

GCF of:
and

Greatest Common Factor of 5010 and 5013

GCF of 5010 and 5013 is 3

Prime Factorization of 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2,3,5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

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

∴ So by taking common prime factors GCF of 5010 and 5013 is 3

Greatest Common Factor of 5010 and 5013 by matching factors method

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Factors of 5013

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

1,3,9,557,1671,5013

Greatest Common Factor

We found the factors and prime factorization of 5010 and 5013. The biggest common factor number is the GCF number.
So the greatest common factor 5010 and 5013 is 3.

Also check out the Least Common Multiple of 5010 and 5013

Properties of GCF 5010 and 5013

(i) The GCF of 5010 and 5013 is associative

GCF of 5010 and 5013 = GCF of 5013 and 5010

Related Greatest Common Factor of 5010

Related Greatest Common Factor of 5013

Frequently Asked Questions on GCF of 5010 and 5013

1. What is the GCF of 5010 and 5013?

Answer: GCF of 5010 and 5013 is 3.

2. What are the Factors of 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

3. 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.

4. How to Find the GCF of 5010 and 5013?

Answer:

Greatest Common Factor of 5010 and 5013 = 3

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 5013

5013 = 3 x 3 x 557

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 5010 and 5013 is 3