What is the Greatest Common Factor of 12025 and 12031?

Greatest common factor (GCF) of 12025 and 12031 is 1.

GCF(12025,12031) = 1

We will now calculate the prime factors of 12025 and 12031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12025 and 12031.

How to find the GCF of 12025 and 12031?

We will first find the prime factorization of 12025 and 12031. After we will calculate the factors of 12025 and 12031 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 12031

Prime factors of 12031 are 53, 227. Prime factorization of 12031 in exponential form is:

12031 = 53¹ × 227¹

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 12031

List of positive integer factors of 12031 that divides 12025 without a remainder.

1, 53, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12025 and 12031. The biggest common factor number is the GCF number.
So the greatest common factor 12025 and 12031 is 1.

Also check out the Least Common Multiple of 12025 and 12031