What is the Greatest Common Factor of 12198 and 12203?

Greatest common factor (GCF) of 12198 and 12203 is 1.

GCF(12198,12203) = 1

We will now calculate the prime factors of 12198 and 12203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12198 and 12203.

How to find the GCF of 12198 and 12203?

We will first find the prime factorization of 12198 and 12203. After we will calculate the factors of 12198 and 12203 and find the biggest common factor number .

Step-1: Prime Factorization of 12198

Prime factors of 12198 are 2, 3, 19, 107. Prime factorization of 12198 in exponential form is:

12198 = 2¹ × 3¹ × 19¹ × 107¹

Step-2: Prime Factorization of 12203

Prime factors of 12203 are 12203. Prime factorization of 12203 in exponential form is:

12203 = 12203¹

Step-3: Factors of 12198

List of positive integer factors of 12198 that divides 12198 without a remainder.

1, 2, 3, 6, 19, 38, 57, 107, 114, 214, 321, 642, 2033, 4066, 6099

Step-4: Factors of 12203

List of positive integer factors of 12203 that divides 12198 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12198 and 12203. The biggest common factor number is the GCF number.
So the greatest common factor 12198 and 12203 is 1.

Also check out the Least Common Multiple of 12198 and 12203