What is the Greatest Common Factor of 13425 and 13443?

Greatest common factor (GCF) of 13425 and 13443 is 3.

GCF(13425,13443) = 3

We will now calculate the prime factors of 13425 and 13443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13425 and 13443.

How to find the GCF of 13425 and 13443?

We will first find the prime factorization of 13425 and 13443. After we will calculate the factors of 13425 and 13443 and find the biggest common factor number .

Step-1: Prime Factorization of 13425

Prime factors of 13425 are 3, 5, 179. Prime factorization of 13425 in exponential form is:

13425 = 3¹ × 5² × 179¹

Step-2: Prime Factorization of 13443

Prime factors of 13443 are 3, 4481. Prime factorization of 13443 in exponential form is:

13443 = 3¹ × 4481¹

Step-3: Factors of 13425

List of positive integer factors of 13425 that divides 13425 without a remainder.

1, 3, 5, 15, 25, 75, 179, 537, 895, 2685, 4475

Step-4: Factors of 13443

List of positive integer factors of 13443 that divides 13425 without a remainder.

1, 3, 4481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13425 and 13443. The biggest common factor number is the GCF number.
So the greatest common factor 13425 and 13443 is 3.

Also check out the Least Common Multiple of 13425 and 13443