Greatest Common Factor of 2023 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 2023, 2024 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2023 and 2024 is 1.

GCF(2023,2024) = 1

GCF of 2023 and 2024

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

GCF of:
and

Greatest Common Factor of 2023 and 2024

GCF of 2023 and 2024 is 1

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

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 2023 and 2024 is 1

Greatest Common Factor of 2023 and 2024 by matching factors method

Factors of 2023

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

1,7,17,119,289,2023

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 2023 and 2024. The biggest common factor number is the GCF number.
So the greatest common factor 2023 and 2024 is 1.

Also check out the Least Common Multiple of 2023 and 2024

Properties of GCF 2023 and 2024

(i) The GCF of 2023 and 2024 is associative

GCF of 2023 and 2024 = GCF of 2024 and 2023

Related Greatest Common Factor of 2023

Related Greatest Common Factor of 2024

Frequently Asked Questions on GCF of 2023 and 2024

1. What is the GCF of 2023 and 2024?

Answer: GCF of 2023 and 2024 is 1.

2. 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.

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 2023 and 2024?

Answer:

Greatest Common Factor of 2023 and 2024 = 1

Step 1: Find the prime factorization of 2023

2023 = 7 x 17 x 17

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 = = 1

Step 4: Therefore, the greatest common factor of 2023 and 2024 is 1