Greatest Common Factor of 2022 and 2025

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, 2025 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2022 and 2025 is 3.

GCF(2022,2025) = 3

GCF of 2022 and 2025

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

GCF of:
and

Greatest Common Factor of 2022 and 2025

GCF of 2022 and 2025 is 3

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 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 2022 and 2025 is 3

Greatest Common Factor of 2022 and 2025 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 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 2022 and 2025. The biggest common factor number is the GCF number.
So the greatest common factor 2022 and 2025 is 3.

Also check out the Least Common Multiple of 2022 and 2025

Properties of GCF 2022 and 2025

(i) The GCF of 2022 and 2025 is associative

GCF of 2022 and 2025 = GCF of 2025 and 2022

Related Greatest Common Factor of 2022

Related Greatest Common Factor of 2025

Frequently Asked Questions on GCF of 2022 and 2025

1. What is the GCF of 2022 and 2025?

Answer: GCF of 2022 and 2025 is 3.

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 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 2022 and 2025?

Answer:

Greatest Common Factor of 2022 and 2025 = 3

Step 1: Find the prime factorization of 2022

2022 = 2 x 3 x 337

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 = 3

Step 4: Therefore, the greatest common factor of 2022 and 2025 is 3