What is the Greatest Common Factor of 13395 and 13404?

Greatest common factor (GCF) of 13395 and 13404 is 3.

GCF(13395,13404) = 3

We will now calculate the prime factors of 13395 and 13404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13395 and 13404.

How to find the GCF of 13395 and 13404?

We will first find the prime factorization of 13395 and 13404. After we will calculate the factors of 13395 and 13404 and find the biggest common factor number .

Step-1: Prime Factorization of 13395

Prime factors of 13395 are 3, 5, 19, 47. Prime factorization of 13395 in exponential form is:

13395 = 3¹ × 5¹ × 19¹ × 47¹

Step-2: Prime Factorization of 13404

Prime factors of 13404 are 2, 3, 1117. Prime factorization of 13404 in exponential form is:

13404 = 2² × 3¹ × 1117¹

Step-3: Factors of 13395

List of positive integer factors of 13395 that divides 13395 without a remainder.

1, 3, 5, 15, 19, 47, 57, 95, 141, 235, 285, 705, 893, 2679, 4465

Step-4: Factors of 13404

List of positive integer factors of 13404 that divides 13395 without a remainder.

1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13395 and 13404. The biggest common factor number is the GCF number.
So the greatest common factor 13395 and 13404 is 3.

Also check out the Least Common Multiple of 13395 and 13404