What is the Greatest Common Factor of 12198 and 12207?

Greatest common factor (GCF) of 12198 and 12207 is 3.

GCF(12198,12207) = 3

We will now calculate the prime factors of 12198 and 12207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12198 and 12207.

How to find the GCF of 12198 and 12207?

We will first find the prime factorization of 12198 and 12207. After we will calculate the factors of 12198 and 12207 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 12207

Prime factors of 12207 are 3, 13, 313. Prime factorization of 12207 in exponential form is:

12207 = 3¹ × 13¹ × 313¹

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 12207

List of positive integer factors of 12207 that divides 12198 without a remainder.

1, 3, 13, 39, 313, 939, 4069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12198 and 12207. The biggest common factor number is the GCF number.
So the greatest common factor 12198 and 12207 is 3.

Also check out the Least Common Multiple of 12198 and 12207