What is the Greatest Common Factor of 12025 and 12035?

Greatest common factor (GCF) of 12025 and 12035 is 5.

GCF(12025,12035) = 5

We will now calculate the prime factors of 12025 and 12035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12025 and 12035.

How to find the GCF of 12025 and 12035?

We will first find the prime factorization of 12025 and 12035. After we will calculate the factors of 12025 and 12035 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 12035

Prime factors of 12035 are 5, 29, 83. Prime factorization of 12035 in exponential form is:

12035 = 5¹ × 29¹ × 83¹

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 12035

List of positive integer factors of 12035 that divides 12025 without a remainder.

1, 5, 29, 83, 145, 415, 2407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12025 and 12035. The biggest common factor number is the GCF number.
So the greatest common factor 12025 and 12035 is 5.

Also check out the Least Common Multiple of 12025 and 12035