What is the Greatest Common Factor of 13425 and 13431?

Greatest common factor (GCF) of 13425 and 13431 is 3.

GCF(13425,13431) = 3

We will now calculate the prime factors of 13425 and 13431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13425 and 13431.

How to find the GCF of 13425 and 13431?

We will first find the prime factorization of 13425 and 13431. After we will calculate the factors of 13425 and 13431 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 13431

Prime factors of 13431 are 3, 11, 37. Prime factorization of 13431 in exponential form is:

13431 = 3¹ × 11² × 37¹

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 13431

List of positive integer factors of 13431 that divides 13425 without a remainder.

1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13425 and 13431. The biggest common factor number is the GCF number.
So the greatest common factor 13425 and 13431 is 3.

Also check out the Least Common Multiple of 13425 and 13431