Greatest Common Factor of 8016 and 8024

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, 8024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8016 and 8024 is 8.

GCF(8016,8024) = 8

GCF of 8016 and 8024

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

GCF of:
and

Greatest Common Factor of 8016 and 8024

GCF of 8016 and 8024 is 8

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 8024


2 8024
2 4012
2 2006
17 1003
59 59
1

Prime factors of 8024 are 2,17,59. Prime factorization of 8024 in exponential form is:

8024 = 23×171×591

∴ So by taking common prime factors GCF of 8016 and 8024 is 8

Greatest Common Factor of 8016 and 8024 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 8024

List of positive integer factors of 8024 that divides 8024 without a remainder.

1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024

Greatest Common Factor

We found the factors and prime factorization of 8016 and 8024. The biggest common factor number is the GCF number.
So the greatest common factor 8016 and 8024 is 8.

Also check out the Least Common Multiple of 8016 and 8024

Properties of GCF 8016 and 8024

(i) The GCF of 8016 and 8024 is associative

GCF of 8016 and 8024 = GCF of 8024 and 8016

Related Greatest Common Factor of 8016

Related Greatest Common Factor of 8024

Frequently Asked Questions on GCF of 8016 and 8024

1. What is the GCF of 8016 and 8024?

Answer: GCF of 8016 and 8024 is 8.

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 8024?

Answer: Factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024. There are 16 integers that are factors of 8024. The greatest factor of 8024 is 8024.

4. How to Find the GCF of 8016 and 8024?

Answer:

Greatest Common Factor of 8016 and 8024 = 8

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 8024

8024 = 2 x 2 x 2 x 17 x 59

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8016 and 8024 is 8