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 2021, 2025 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2021 and 2025 is 1.
GCF(2021,2025) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2021
43 | 2021 |
47 | 47 |
1 |
Prime factors of 2021 are 43,47. Prime factorization of 2021 in exponential form is:
2021 = 431×471
Prime Factorization of 2025
3 | 2025 |
3 | 675 |
3 | 225 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 2025 are 3,5. Prime factorization of 2025 in exponential form is:
2025 = 34×52
∴ So by taking common prime factors GCF of 2021 and 2025 is 1
Factors of 2021
List of positive integer factors of 2021 that divides 2021 without a remainder.
1,43,47,2021
Factors of 2025
List of positive integer factors of 2025 that divides 2025 without a remainder.
1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025
Greatest Common Factor
We found the factors and prime factorization of 2021 and 2025. The biggest common factor number is the GCF number.
So the greatest common factor 2021 and 2025 is 1.
Also check out the Least Common Multiple of 2021 and 2025
(i) The GCF of 2021 and 2025 is associative
GCF of 2021 and 2025 = GCF of 2025 and 2021
1. What is the GCF of 2021 and 2025?
Answer: GCF of 2021 and 2025 is 1.
2. What are the Factors of 2021?
Answer: Factors of 2021 are 1, 43, 47, 2021. There are 4 integers that are factors of 2021. The greatest factor of 2021 is 2021.
3. What are the Factors of 2025?
Answer: Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. There are 15 integers that are factors of 2025. The greatest factor of 2025 is 2025.
4. How to Find the GCF of 2021 and 2025?
Answer:
Greatest Common Factor of 2021 and 2025 = 1
Step 1: Find the prime factorization of 2021
2021 = 43 x 47
Step 2: Find the prime factorization of 2025
2025 = 3 x 3 x 3 x 3 x 5 x 5
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 2021 and 2025 is 1