Greatest Common Factor of 8012 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 8012, 8014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8012 and 8014 is 2.

GCF(8012,8014) = 2

GCF of 8012 and 8014

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

GCF of:
and

Greatest Common Factor of 8012 and 8014

GCF of 8012 and 8014 is 2

Prime Factorization of 8012


2 8012
2 4006
2003 2003
1

Prime factors of 8012 are 2,2003. Prime factorization of 8012 in exponential form is:

8012 = 22×20031

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 8012 and 8014 is 2

Greatest Common Factor of 8012 and 8014 by matching factors method

Factors of 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

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 8012 and 8014. The biggest common factor number is the GCF number.
So the greatest common factor 8012 and 8014 is 2.

Also check out the Least Common Multiple of 8012 and 8014

Properties of GCF 8012 and 8014

(i) The GCF of 8012 and 8014 is associative

GCF of 8012 and 8014 = GCF of 8014 and 8012

Related Greatest Common Factor of 8012

Related Greatest Common Factor of 8014

Frequently Asked Questions on GCF of 8012 and 8014

1. What is the GCF of 8012 and 8014?

Answer: GCF of 8012 and 8014 is 2.

2. What are the Factors of 8012?

Answer: Factors of 8012 are 1, 2, 4, 2003, 4006, 8012. There are 6 integers that are factors of 8012. The greatest factor of 8012 is 8012.

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 8012 and 8014?

Answer:

Greatest Common Factor of 8012 and 8014 = 2

Step 1: Find the prime factorization of 8012

8012 = 2 x 2 x 2003

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 8012 and 8014 is 2