Greatest Common Factor of 8014 and 8020

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 8014, 8020 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8014 and 8020 is 2.

GCF(8014,8020) = 2

GCF of 8014 and 8020

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

GCF of:
and

Greatest Common Factor of 8014 and 8020

GCF of 8014 and 8020 is 2

Prime Factorization of 8014


2 8014
4007 4007
1

Prime factors of 8014 are 2,4007. Prime factorization of 8014 in exponential form is:

8014 = 21×40071

Prime Factorization of 8020


2 8020
2 4010
5 2005
401 401
1

Prime factors of 8020 are 2,5,401. Prime factorization of 8020 in exponential form is:

8020 = 22×51×4011

∴ So by taking common prime factors GCF of 8014 and 8020 is 2

Greatest Common Factor of 8014 and 8020 by matching factors method

Factors of 8014

List of positive integer factors of 8014 that divides 8014 without a remainder.

1,2,4007,8014

Factors of 8020

List of positive integer factors of 8020 that divides 8020 without a remainder.

1,2,4,5,10,20,401,802,1604,2005,4010,8020

Greatest Common Factor

We found the factors and prime factorization of 8014 and 8020. The biggest common factor number is the GCF number.
So the greatest common factor 8014 and 8020 is 2.

Also check out the Least Common Multiple of 8014 and 8020

Properties of GCF 8014 and 8020

(i) The GCF of 8014 and 8020 is associative

GCF of 8014 and 8020 = GCF of 8020 and 8014

Related Greatest Common Factor of 8014

Related Greatest Common Factor of 8020

Frequently Asked Questions on GCF of 8014 and 8020

1. What is the GCF of 8014 and 8020?

Answer: GCF of 8014 and 8020 is 2.

2. What are the Factors of 8014?

Answer: Factors of 8014 are 1, 2, 4007, 8014. There are 4 integers that are factors of 8014. The greatest factor of 8014 is 8014.

3. What are the Factors of 8020?

Answer: Factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020. There are 12 integers that are factors of 8020. The greatest factor of 8020 is 8020.

4. How to Find the GCF of 8014 and 8020?

Answer:

Greatest Common Factor of 8014 and 8020 = 2

Step 1: Find the prime factorization of 8014

8014 = 2 x 4007

Step 2: Find the prime factorization of 8020

8020 = 2 x 2 x 5 x 401

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 8014 and 8020 is 2