What is the Greatest Common Factor of 2025 and 2037?

Greatest common factor (GCF) of 2025 and 2037 is 3.

GCF(2025,2037) = 3

We will now calculate the prime factors of 2025 and 2037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2025 and 2037.

How to find the GCF of 2025 and 2037?

We will first find the prime factorization of 2025 and 2037. After we will calculate the factors of 2025 and 2037 and find the biggest common factor number .

Step-1: Prime Factorization of 2025

Prime factors of 2025 are 3, 5. Prime factorization of 2025 in exponential form is:

2025 = 3⁴ × 5²

Step-2: Prime Factorization of 2037

Prime factors of 2037 are 3, 7, 97. Prime factorization of 2037 in exponential form is:

2037 = 3¹ × 7¹ × 97¹

Step-3: 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

Step-4: Factors of 2037

List of positive integer factors of 2037 that divides 2025 without a remainder.

1, 3, 7, 21, 97, 291, 679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2025 and 2037. The biggest common factor number is the GCF number.
So the greatest common factor 2025 and 2037 is 3.

Also check out the Least Common Multiple of 2025 and 2037