Greatest Common Factor of 5010 and 5018

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, 5018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5010 and 5018 is 2.

GCF(5010,5018) = 2

GCF of 5010 and 5018

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

GCF of:
and

Greatest Common Factor of 5010 and 5018

GCF of 5010 and 5018 is 2

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 5018


2 5018
13 2509
193 193
1

Prime factors of 5018 are 2,13,193. Prime factorization of 5018 in exponential form is:

5018 = 21×131×1931

∴ So by taking common prime factors GCF of 5010 and 5018 is 2

Greatest Common Factor of 5010 and 5018 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 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1,2,13,26,193,386,2509,5018

Greatest Common Factor

We found the factors and prime factorization of 5010 and 5018. The biggest common factor number is the GCF number.
So the greatest common factor 5010 and 5018 is 2.

Also check out the Least Common Multiple of 5010 and 5018

Properties of GCF 5010 and 5018

(i) The GCF of 5010 and 5018 is associative

GCF of 5010 and 5018 = GCF of 5018 and 5010

Related Greatest Common Factor of 5010

Related Greatest Common Factor of 5018

Frequently Asked Questions on GCF of 5010 and 5018

1. What is the GCF of 5010 and 5018?

Answer: GCF of 5010 and 5018 is 2.

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 5018?

Answer: Factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018. There are 8 integers that are factors of 5018. The greatest factor of 5018 is 5018.

4. How to Find the GCF of 5010 and 5018?

Answer:

Greatest Common Factor of 5010 and 5018 = 2

Step 1: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 5018

5018 = 2 x 13 x 193

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 5010 and 5018 is 2