Greatest Common Factor of 8016 and 8019

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 8016, 8019 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8016 and 8019 is 3.

GCF(8016,8019) = 3

GCF of 8016 and 8019

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

GCF of:
and

Greatest Common Factor of 8016 and 8019

GCF of 8016 and 8019 is 3

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

Prime Factorization of 8019


3 8019
3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 8019 are 3,11. Prime factorization of 8019 in exponential form is:

8019 = 36×111

∴ So by taking common prime factors GCF of 8016 and 8019 is 3

Greatest Common Factor of 8016 and 8019 by matching factors method

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

Factors of 8019

List of positive integer factors of 8019 that divides 8019 without a remainder.

1,3,9,11,27,33,81,99,243,297,729,891,2673,8019

Greatest Common Factor

We found the factors and prime factorization of 8016 and 8019. The biggest common factor number is the GCF number.
So the greatest common factor 8016 and 8019 is 3.

Also check out the Least Common Multiple of 8016 and 8019

Properties of GCF 8016 and 8019

(i) The GCF of 8016 and 8019 is associative

GCF of 8016 and 8019 = GCF of 8019 and 8016

Related Greatest Common Factor of 8016

Related Greatest Common Factor of 8019

Frequently Asked Questions on GCF of 8016 and 8019

1. What is the GCF of 8016 and 8019?

Answer: GCF of 8016 and 8019 is 3.

2. 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.

3. What are the Factors of 8019?

Answer: Factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019. There are 14 integers that are factors of 8019. The greatest factor of 8019 is 8019.

4. How to Find the GCF of 8016 and 8019?

Answer:

Greatest Common Factor of 8016 and 8019 = 3

Step 1: Find the prime factorization of 8016

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

Step 2: Find the prime factorization of 8019

8019 = 3 x 3 x 3 x 3 x 3 x 3 x 11

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8016 and 8019 is 3