# Greatest Common Factor of 2025 and 2027

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2025, 2027 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2025 and 2027 is 1.

GCF(2025,2027) = 1

## GCF of 2025 and 2027

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

GCF of:
and

### Greatest Common Factor of 2025 and 2027 by Prime factorization method

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 2027

 2027 2027 1

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

∴ So by taking common prime factors GCF of 2025 and 2027 is 1

### Greatest Common Factor of 2025 and 2027 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 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1,2027

Greatest Common Factor

We found the factors and prime factorization of 2025 and 2027. The biggest common factor number is the GCF number.
So the greatest common factor 2025 and 2027 is 1.

Also check out the Least Common Multiple of 2025 and 2027

### Properties of GCF 2025 and 2027

(i) The GCF of 2025 and 2027 is associative

GCF of 2025 and 2027 = GCF of 2027 and 2025

### Frequently Asked Questions on GCF of 2025 and 2027

1. What is the GCF of 2025 and 2027?

Answer: GCF of 2025 and 2027 is 1.

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 2027?

Answer: Factors of 2027 are 1, 2027. There are 2 integers that are factors of 2027. The greatest factor of 2027 is 2027.

4. How to Find the GCF of 2025 and 2027?

Greatest Common Factor of 2025 and 2027 = 1

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 2027

2027 = 2027

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 2025 and 2027 is 1