Greatest Common Factor of 8014 and 8018

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, 8018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8014 and 8018 is 2.

GCF(8014,8018) = 2

GCF of 8014 and 8018

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

GCF of:
and

Greatest Common Factor of 8014 and 8018

GCF of 8014 and 8018 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 8018


2 8018
19 4009
211 211
1

Prime factors of 8018 are 2,19,211. Prime factorization of 8018 in exponential form is:

8018 = 21×191×2111

∴ So by taking common prime factors GCF of 8014 and 8018 is 2

Greatest Common Factor of 8014 and 8018 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 8018

List of positive integer factors of 8018 that divides 8018 without a remainder.

1,2,19,38,211,422,4009,8018

Greatest Common Factor

We found the factors and prime factorization of 8014 and 8018. The biggest common factor number is the GCF number.
So the greatest common factor 8014 and 8018 is 2.

Also check out the Least Common Multiple of 8014 and 8018

Properties of GCF 8014 and 8018

(i) The GCF of 8014 and 8018 is associative

GCF of 8014 and 8018 = GCF of 8018 and 8014

Related Greatest Common Factor of 8014

Related Greatest Common Factor of 8018

Frequently Asked Questions on GCF of 8014 and 8018

1. What is the GCF of 8014 and 8018?

Answer: GCF of 8014 and 8018 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 8018?

Answer: Factors of 8018 are 1, 2, 19, 38, 211, 422, 4009, 8018. There are 8 integers that are factors of 8018. The greatest factor of 8018 is 8018.

4. How to Find the GCF of 8014 and 8018?

Answer:

Greatest Common Factor of 8014 and 8018 = 2

Step 1: Find the prime factorization of 8014

8014 = 2 x 4007

Step 2: Find the prime factorization of 8018

8018 = 2 x 19 x 211

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 8018 is 2