What is the Greatest Common Factor of 13197 and 13203?

Greatest common factor (GCF) of 13197 and 13203 is 3.

GCF(13197,13203) = 3

We will now calculate the prime factors of 13197 and 13203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13197 and 13203.

How to find the GCF of 13197 and 13203?

We will first find the prime factorization of 13197 and 13203. After we will calculate the factors of 13197 and 13203 and find the biggest common factor number .

Step-1: Prime Factorization of 13197

Prime factors of 13197 are 3, 53, 83. Prime factorization of 13197 in exponential form is:

13197 = 3¹ × 53¹ × 83¹

Step-2: Prime Factorization of 13203

Prime factors of 13203 are 3, 163. Prime factorization of 13203 in exponential form is:

13203 = 3⁴ × 163¹

Step-3: Factors of 13197

List of positive integer factors of 13197 that divides 13197 without a remainder.

1, 3, 53, 83, 159, 249, 4399

Step-4: Factors of 13203

List of positive integer factors of 13203 that divides 13197 without a remainder.

1, 3, 9, 27, 81, 163, 489, 1467, 4401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13197 and 13203. The biggest common factor number is the GCF number.
So the greatest common factor 13197 and 13203 is 3.

Also check out the Least Common Multiple of 13197 and 13203