Greatest Common Factor of 2016 and 2023

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, 2023 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2016 and 2023 is 7.

GCF(2016,2023) = 7

GCF of 2016 and 2023

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

GCF of:
and

Greatest Common Factor of 2016 and 2023

GCF of 2016 and 2023 is 7

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 2023


7 2023
17 289
17 17
1

Prime factors of 2023 are 7,17. Prime factorization of 2023 in exponential form is:

2023 = 71×172

∴ So by taking common prime factors GCF of 2016 and 2023 is 7

Greatest Common Factor of 2016 and 2023 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 2023

List of positive integer factors of 2023 that divides 2023 without a remainder.

1,7,17,119,289,2023

Greatest Common Factor

We found the factors and prime factorization of 2016 and 2023. The biggest common factor number is the GCF number.
So the greatest common factor 2016 and 2023 is 7.

Also check out the Least Common Multiple of 2016 and 2023

Properties of GCF 2016 and 2023

(i) The GCF of 2016 and 2023 is associative

GCF of 2016 and 2023 = GCF of 2023 and 2016

Related Greatest Common Factor of 2016

Related Greatest Common Factor of 2023

Frequently Asked Questions on GCF of 2016 and 2023

1. What is the GCF of 2016 and 2023?

Answer: GCF of 2016 and 2023 is 7.

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 2023?

Answer: Factors of 2023 are 1, 7, 17, 119, 289, 2023. There are 6 integers that are factors of 2023. The greatest factor of 2023 is 2023.

4. How to Find the GCF of 2016 and 2023?

Answer:

Greatest Common Factor of 2016 and 2023 = 7

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 2023

2023 = 7 x 17 x 17

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2016 and 2023 is 7