Greatest Common Factor of 5014 and 5020

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 5014, 5020 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5014 and 5020 is 2.

GCF(5014,5020) = 2

GCF of 5014 and 5020

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

GCF of:
and

Greatest Common Factor of 5014 and 5020

GCF of 5014 and 5020 is 2

Prime Factorization of 5014


2 5014
23 2507
109 109
1

Prime factors of 5014 are 2,23,109. Prime factorization of 5014 in exponential form is:

5014 = 21×231×1091

Prime Factorization of 5020


2 5020
2 2510
5 1255
251 251
1

Prime factors of 5020 are 2,5,251. Prime factorization of 5020 in exponential form is:

5020 = 22×51×2511

∴ So by taking common prime factors GCF of 5014 and 5020 is 2

Greatest Common Factor of 5014 and 5020 by matching factors method

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Factors of 5020

List of positive integer factors of 5020 that divides 5020 without a remainder.

1,2,4,5,10,20,251,502,1004,1255,2510,5020

Greatest Common Factor

We found the factors and prime factorization of 5014 and 5020. The biggest common factor number is the GCF number.
So the greatest common factor 5014 and 5020 is 2.

Also check out the Least Common Multiple of 5014 and 5020

Properties of GCF 5014 and 5020

(i) The GCF of 5014 and 5020 is associative

GCF of 5014 and 5020 = GCF of 5020 and 5014

Related Greatest Common Factor of 5014

Related Greatest Common Factor of 5020

Frequently Asked Questions on GCF of 5014 and 5020

1. What is the GCF of 5014 and 5020?

Answer: GCF of 5014 and 5020 is 2.

2. What are the Factors of 5014?

Answer: Factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014. There are 8 integers that are factors of 5014. The greatest factor of 5014 is 5014.

3. What are the Factors of 5020?

Answer: Factors of 5020 are 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020. There are 12 integers that are factors of 5020. The greatest factor of 5020 is 5020.

4. How to Find the GCF of 5014 and 5020?

Answer:

Greatest Common Factor of 5014 and 5020 = 2

Step 1: Find the prime factorization of 5014

5014 = 2 x 23 x 109

Step 2: Find the prime factorization of 5020

5020 = 2 x 2 x 5 x 251

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 5014 and 5020 is 2