What is the Greatest Common Factor of 12198 and 12217?

Greatest common factor (GCF) of 12198 and 12217 is 19.

GCF(12198,12217) = 19

We will now calculate the prime factors of 12198 and 12217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12198 and 12217.

How to find the GCF of 12198 and 12217?

We will first find the prime factorization of 12198 and 12217. After we will calculate the factors of 12198 and 12217 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 12217

Prime factors of 12217 are 19, 643. Prime factorization of 12217 in exponential form is:

12217 = 19¹ × 643¹

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 12217

List of positive integer factors of 12217 that divides 12198 without a remainder.

1, 19, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12198 and 12217. The biggest common factor number is the GCF number.
So the greatest common factor 12198 and 12217 is 19.

Also check out the Least Common Multiple of 12198 and 12217