Greatest Common Factor of 2016 and 2024

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 2016, 2024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2016 and 2024 is 8.

GCF(2016,2024) = 8

GCF of 2016 and 2024

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

GCF of:
and

Greatest Common Factor of 2016 and 2024

GCF of 2016 and 2024 is 8

Prime Factorization of 2016


2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 2016 are 2,3,7. Prime factorization of 2016 in exponential form is:

2016 = 25×32×71

Prime Factorization of 2024


2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 2024 are 2,11,23. Prime factorization of 2024 in exponential form is:

2024 = 23×111×231

∴ So by taking common prime factors GCF of 2016 and 2024 is 8

Greatest Common Factor of 2016 and 2024 by matching factors method

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016

Factors of 2024

List of positive integer factors of 2024 that divides 2024 without a remainder.

1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024

Greatest Common Factor

We found the factors and prime factorization of 2016 and 2024. The biggest common factor number is the GCF number.
So the greatest common factor 2016 and 2024 is 8.

Also check out the Least Common Multiple of 2016 and 2024

Properties of GCF 2016 and 2024

(i) The GCF of 2016 and 2024 is associative

GCF of 2016 and 2024 = GCF of 2024 and 2016

Related Greatest Common Factor of 2016

Related Greatest Common Factor of 2024

Frequently Asked Questions on GCF of 2016 and 2024

1. What is the GCF of 2016 and 2024?

Answer: GCF of 2016 and 2024 is 8.

2. What are the Factors of 2016?

Answer: Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. There are 36 integers that are factors of 2016. The greatest factor of 2016 is 2016.

3. What are the Factors of 2024?

Answer: Factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024. There are 16 integers that are factors of 2024. The greatest factor of 2024 is 2024.

4. How to Find the GCF of 2016 and 2024?

Answer:

Greatest Common Factor of 2016 and 2024 = 8

Step 1: Find the prime factorization of 2016

2016 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 2024

2024 = 2 x 2 x 2 x 11 x 23

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 2016 and 2024 is 8