Greatest Common Factor of 8012 and 8016

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, 8016 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8012 and 8016 is 4.

GCF(8012,8016) = 4

GCF of 8012 and 8016

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

GCF of:
and

Greatest Common Factor of 8012 and 8016

GCF of 8012 and 8016 is 4

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 8016


2 8016
2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 8016 are 2,3,167. Prime factorization of 8016 in exponential form is:

8016 = 24×31×1671

∴ So by taking common prime factors GCF of 8012 and 8016 is 4

Greatest Common Factor of 8012 and 8016 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 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1,2,3,4,6,8,12,16,24,48,167,334,501,668,1002,1336,2004,2672,4008,8016

Greatest Common Factor

We found the factors and prime factorization of 8012 and 8016. The biggest common factor number is the GCF number.
So the greatest common factor 8012 and 8016 is 4.

Also check out the Least Common Multiple of 8012 and 8016

Properties of GCF 8012 and 8016

(i) The GCF of 8012 and 8016 is associative

GCF of 8012 and 8016 = GCF of 8016 and 8012

Related Greatest Common Factor of 8012

Related Greatest Common Factor of 8016

Frequently Asked Questions on GCF of 8012 and 8016

1. What is the GCF of 8012 and 8016?

Answer: GCF of 8012 and 8016 is 4.

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 8016?

Answer: Factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016. There are 20 integers that are factors of 8016. The greatest factor of 8016 is 8016.

4. How to Find the GCF of 8012 and 8016?

Answer:

Greatest Common Factor of 8012 and 8016 = 4

Step 1: Find the prime factorization of 8012

8012 = 2 x 2 x 2003

Step 2: Find the prime factorization of 8016

8016 = 2 x 2 x 2 x 2 x 3 x 167

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8012 and 8016 is 4