Greatest Common Factor of 2020 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 2020, 2025 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2020 and 2025 is 5.

GCF(2020,2025) = 5

GCF of 2020 and 2025

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

GCF of:
and

Greatest Common Factor of 2020 and 2025

GCF of 2020 and 2025 is 5

Prime Factorization of 2020


2 2020
2 1010
5 505
101 101
1

Prime factors of 2020 are 2,5,101. Prime factorization of 2020 in exponential form is:

2020 = 22×51×1011

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 2020 and 2025 is 5

Greatest Common Factor of 2020 and 2025 by matching factors method

Factors of 2020

List of positive integer factors of 2020 that divides 2020 without a remainder.

1,2,4,5,10,20,101,202,404,505,1010,2020

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 2020 and 2025. The biggest common factor number is the GCF number.
So the greatest common factor 2020 and 2025 is 5.

Also check out the Least Common Multiple of 2020 and 2025

Properties of GCF 2020 and 2025

(i) The GCF of 2020 and 2025 is associative

GCF of 2020 and 2025 = GCF of 2025 and 2020

Related Greatest Common Factor of 2020

Related Greatest Common Factor of 2025

Frequently Asked Questions on GCF of 2020 and 2025

1. What is the GCF of 2020 and 2025?

Answer: GCF of 2020 and 2025 is 5.

2. What are the Factors of 2020?

Answer: Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020. There are 12 integers that are factors of 2020. The greatest factor of 2020 is 2020.

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 2020 and 2025?

Answer:

Greatest Common Factor of 2020 and 2025 = 5

Step 1: Find the prime factorization of 2020

2020 = 2 x 2 x 5 x 101

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 = 5

Step 4: Therefore, the greatest common factor of 2020 and 2025 is 5