Greatest Common Factor of 8006 and 8014

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 8006, 8014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8006 and 8014 is 2.

GCF(8006,8014) = 2

GCF of 8006 and 8014

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

GCF of:
and

Greatest Common Factor of 8006 and 8014

GCF of 8006 and 8014 is 2

Prime Factorization of 8006


2 8006
4003 4003
1

Prime factors of 8006 are 2,4003. Prime factorization of 8006 in exponential form is:

8006 = 21×40031

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

∴ So by taking common prime factors GCF of 8006 and 8014 is 2

Greatest Common Factor of 8006 and 8014 by matching factors method

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1,2,4003,8006

Factors of 8014

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

1,2,4007,8014

Greatest Common Factor

We found the factors and prime factorization of 8006 and 8014. The biggest common factor number is the GCF number.
So the greatest common factor 8006 and 8014 is 2.

Also check out the Least Common Multiple of 8006 and 8014

Properties of GCF 8006 and 8014

(i) The GCF of 8006 and 8014 is associative

GCF of 8006 and 8014 = GCF of 8014 and 8006

Related Greatest Common Factor of 8006

Related Greatest Common Factor of 8014

Frequently Asked Questions on GCF of 8006 and 8014

1. What is the GCF of 8006 and 8014?

Answer: GCF of 8006 and 8014 is 2.

2. What are the Factors of 8006?

Answer: Factors of 8006 are 1, 2, 4003, 8006. There are 4 integers that are factors of 8006. The greatest factor of 8006 is 8006.

3. 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.

4. How to Find the GCF of 8006 and 8014?

Answer:

Greatest Common Factor of 8006 and 8014 = 2

Step 1: Find the prime factorization of 8006

8006 = 2 x 4003

Step 2: Find the prime factorization of 8014

8014 = 2 x 4007

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 8006 and 8014 is 2