What is the Greatest Common Factor of 12025 and 12029?

Greatest common factor (GCF) of 12025 and 12029 is 1.

GCF(12025,12029) = 1

We will now calculate the prime factors of 12025 and 12029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12025 and 12029.

How to find the GCF of 12025 and 12029?

We will first find the prime factorization of 12025 and 12029. After we will calculate the factors of 12025 and 12029 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 12029

Prime factors of 12029 are 23, 523. Prime factorization of 12029 in exponential form is:

12029 = 23¹ × 523¹

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 12029

List of positive integer factors of 12029 that divides 12025 without a remainder.

1, 23, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12025 and 12029. The biggest common factor number is the GCF number.
So the greatest common factor 12025 and 12029 is 1.

Also check out the Least Common Multiple of 12025 and 12029