What is the Greatest Common Factor of 13025 and 13035?

Greatest common factor (GCF) of 13025 and 13035 is 5.

GCF(13025,13035) = 5

We will now calculate the prime factors of 13025 and 13035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13025 and 13035.

How to find the GCF of 13025 and 13035?

We will first find the prime factorization of 13025 and 13035. After we will calculate the factors of 13025 and 13035 and find the biggest common factor number .

Step-1: Prime Factorization of 13025

Prime factors of 13025 are 5, 521. Prime factorization of 13025 in exponential form is:

13025 = 5² × 521¹

Step-2: Prime Factorization of 13035

Prime factors of 13035 are 3, 5, 11, 79. Prime factorization of 13035 in exponential form is:

13035 = 3¹ × 5¹ × 11¹ × 79¹

Step-3: Factors of 13025

List of positive integer factors of 13025 that divides 13025 without a remainder.

1, 5, 25, 521, 2605

Step-4: Factors of 13035

List of positive integer factors of 13035 that divides 13025 without a remainder.

1, 3, 5, 11, 15, 33, 55, 79, 165, 237, 395, 869, 1185, 2607, 4345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13025 and 13035. The biggest common factor number is the GCF number.
So the greatest common factor 13025 and 13035 is 5.

Also check out the Least Common Multiple of 13025 and 13035