What is the Greatest Common Factor of 12025 and 12033?

Greatest common factor (GCF) of 12025 and 12033 is 1.

GCF(12025,12033) = 1

We will now calculate the prime factors of 12025 and 12033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12025 and 12033.

How to find the GCF of 12025 and 12033?

We will first find the prime factorization of 12025 and 12033. After we will calculate the factors of 12025 and 12033 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 12033

Prime factors of 12033 are 3, 7, 191. Prime factorization of 12033 in exponential form is:

12033 = 3² × 7¹ × 191¹

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 12033

List of positive integer factors of 12033 that divides 12025 without a remainder.

1, 3, 7, 9, 21, 63, 191, 573, 1337, 1719, 4011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12025 and 12033. The biggest common factor number is the GCF number.
So the greatest common factor 12025 and 12033 is 1.

Also check out the Least Common Multiple of 12025 and 12033