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 2024, 2031 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2024 and 2031 is 1.
GCF(2024,2031) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2031
3 | 2031 |
677 | 677 |
1 |
Prime factors of 2031 are 3,677. Prime factorization of 2031 in exponential form is:
2031 = 31×6771
∴ So by taking common prime factors GCF of 2024 and 2031 is 1
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
Factors of 2031
List of positive integer factors of 2031 that divides 2031 without a remainder.
1,3,677,2031
Greatest Common Factor
We found the factors and prime factorization of 2024 and 2031. The biggest common factor number is the GCF number.
So the greatest common factor 2024 and 2031 is 1.
Also check out the Least Common Multiple of 2024 and 2031
(i) The GCF of 2024 and 2031 is associative
GCF of 2024 and 2031 = GCF of 2031 and 2024
1. What is the GCF of 2024 and 2031?
Answer: GCF of 2024 and 2031 is 1.
2. 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.
3. What are the Factors of 2031?
Answer: Factors of 2031 are 1, 3, 677, 2031. There are 4 integers that are factors of 2031. The greatest factor of 2031 is 2031.
4. How to Find the GCF of 2024 and 2031?
Answer:
Greatest Common Factor of 2024 and 2031 = 1
Step 1: Find the prime factorization of 2024
2024 = 2 x 2 x 2 x 11 x 23
Step 2: Find the prime factorization of 2031
2031 = 3 x 677
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 2024 and 2031 is 1