What is the Greatest Common Factor of 12025 and 12038?

Greatest common factor (GCF) of 12025 and 12038 is 13.

GCF(12025,12038) = 13

We will now calculate the prime factors of 12025 and 12038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12025 and 12038.

How to find the GCF of 12025 and 12038?

We will first find the prime factorization of 12025 and 12038. After we will calculate the factors of 12025 and 12038 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 12038

Prime factors of 12038 are 2, 13, 463. Prime factorization of 12038 in exponential form is:

12038 = 2¹ × 13¹ × 463¹

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 12038

List of positive integer factors of 12038 that divides 12025 without a remainder.

1, 2, 13, 26, 463, 926, 6019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12025 and 12038. The biggest common factor number is the GCF number.
So the greatest common factor 12025 and 12038 is 13.

Also check out the Least Common Multiple of 12025 and 12038