Greatest Common Factor of 2022 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 2022, 2024 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2022 and 2024 is 2.
GCF(2022,2024) = 2
GCF of 2022 and 2024
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2022 and 2024 by prime factorization method
- Greatest Common Factor of 2022 and 2024 by matching factors method
GCF of 2022 and 2024 is 2
Prime Factorization of 2022
| 2 | 2022 |
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 2022 are 2,3,337. Prime factorization of 2022 in exponential form is:
2022 = 21×31×3371
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 2022 and 2024 is 2
Greatest Common Factor of 2022 and 2024 by matching factors method
Factors of 2022
List of positive integer factors of 2022 that divides 2022 without a remainder.
1,2,3,6,337,674,1011,2022
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 2022 and 2024. The biggest common factor number is the GCF number.
So the greatest common factor 2022 and 2024 is 2.
Also check out the Least Common Multiple of 2022 and 2024
Properties of GCF 2022 and 2024
(i) The GCF of 2022 and 2024 is associative
GCF of 2022 and 2024 = GCF of 2024 and 2022
Related Greatest Common Factor of 2022
Related Greatest Common Factor of 2024
Frequently Asked Questions on GCF of 2022 and 2024
1. What is the GCF of 2022 and 2024?
Answer: GCF of 2022 and 2024 is 2.
2. What are the Factors of 2022?
Answer: Factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022. There are 8 integers that are factors of 2022. The greatest factor of 2022 is 2022.
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 2022 and 2024?
Answer:
Greatest Common Factor of 2022 and 2024 = 2
Step 1: Find the prime factorization of 2022
2022 = 2 x 3 x 337
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
Step 4: Therefore, the greatest common factor of 2022 and 2024 is 2