What is the Greatest Common Factor of 12025 and 12037?

Greatest common factor (GCF) of 12025 and 12037 is 1.

GCF(12025,12037) = 1

We will now calculate the prime factors of 12025 and 12037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12025 and 12037.

How to find the GCF of 12025 and 12037?

We will first find the prime factorization of 12025 and 12037. After we will calculate the factors of 12025 and 12037 and find the biggest common factor number .

Step-1: Prime Factorization of 12025

Prime factors of 12025 are 5, 13, 37. Prime factorization of 12025 in exponential form is:

12025 = 5² × 13¹ × 37¹

Step-2: Prime Factorization of 12037

Prime factors of 12037 are 12037. Prime factorization of 12037 in exponential form is:

12037 = 12037¹

Step-3: Factors of 12025

List of positive integer factors of 12025 that divides 12025 without a remainder.

1, 5, 13, 25, 37, 65, 185, 325, 481, 925, 2405

Step-4: Factors of 12037

List of positive integer factors of 12037 that divides 12025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12025 and 12037. The biggest common factor number is the GCF number.
So the greatest common factor 12025 and 12037 is 1.

Also check out the Least Common Multiple of 12025 and 12037