Greatest Common Factor of 2025 and 2028

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 2025, 2028 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2025 and 2028 is 3.

GCF(2025,2028) = 3

GCF of 2025 and 2028

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

GCF of:
and

Greatest Common Factor of 2025 and 2028

GCF of 2025 and 2028 is 3

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

Prime Factorization of 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2,3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

∴ So by taking common prime factors GCF of 2025 and 2028 is 3

Greatest Common Factor of 2025 and 2028 by matching factors method

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

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028

Greatest Common Factor

We found the factors and prime factorization of 2025 and 2028. The biggest common factor number is the GCF number.
So the greatest common factor 2025 and 2028 is 3.

Also check out the Least Common Multiple of 2025 and 2028

Properties of GCF 2025 and 2028

(i) The GCF of 2025 and 2028 is associative

GCF of 2025 and 2028 = GCF of 2028 and 2025

Related Greatest Common Factor of 2025

Related Greatest Common Factor of 2028

Frequently Asked Questions on GCF of 2025 and 2028

1. What is the GCF of 2025 and 2028?

Answer: GCF of 2025 and 2028 is 3.

2. 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.

3. What are the Factors of 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

4. How to Find the GCF of 2025 and 2028?

Answer:

Greatest Common Factor of 2025 and 2028 = 3

Step 1: Find the prime factorization of 2025

2025 = 3 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

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 2025 and 2028 is 3