Greatest Common Factor of 8014 and 8022

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, 8022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8014 and 8022 is 2.

GCF(8014,8022) = 2

GCF of 8014 and 8022

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

GCF of:
and

Greatest Common Factor of 8014 and 8022

GCF of 8014 and 8022 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 8022


2 8022
3 4011
7 1337
191 191
1

Prime factors of 8022 are 2,3,7,191. Prime factorization of 8022 in exponential form is:

8022 = 21×31×71×1911

∴ So by taking common prime factors GCF of 8014 and 8022 is 2

Greatest Common Factor of 8014 and 8022 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 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Greatest Common Factor

We found the factors and prime factorization of 8014 and 8022. The biggest common factor number is the GCF number.
So the greatest common factor 8014 and 8022 is 2.

Also check out the Least Common Multiple of 8014 and 8022

Properties of GCF 8014 and 8022

(i) The GCF of 8014 and 8022 is associative

GCF of 8014 and 8022 = GCF of 8022 and 8014

Related Greatest Common Factor of 8014

Related Greatest Common Factor of 8022

Frequently Asked Questions on GCF of 8014 and 8022

1. What is the GCF of 8014 and 8022?

Answer: GCF of 8014 and 8022 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 8022?

Answer: Factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022. There are 16 integers that are factors of 8022. The greatest factor of 8022 is 8022.

4. How to Find the GCF of 8014 and 8022?

Answer:

Greatest Common Factor of 8014 and 8022 = 2

Step 1: Find the prime factorization of 8014

8014 = 2 x 4007

Step 2: Find the prime factorization of 8022

8022 = 2 x 3 x 7 x 191

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 8022 is 2