What is the Greatest Common Factor of 9198 and 9212?

Greatest common factor (GCF) of 9198 and 9212 is 14.

GCF(9198,9212) = 14

We will now calculate the prime factors of 9198 and 9212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9198 and 9212.

How to find the GCF of 9198 and 9212?

We will first find the prime factorization of 9198 and 9212. After we will calculate the factors of 9198 and 9212 and find the biggest common factor number .

Step-1: Prime Factorization of 9198

Prime factors of 9198 are 2, 3, 7, 73. Prime factorization of 9198 in exponential form is:

9198 = 2¹ × 3² × 7¹ × 73¹

Step-2: Prime Factorization of 9212

Prime factors of 9212 are 2, 7, 47. Prime factorization of 9212 in exponential form is:

9212 = 2² × 7² × 47¹

Step-3: Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599

Step-4: Factors of 9212

List of positive integer factors of 9212 that divides 9198 without a remainder.

1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9198 and 9212. The biggest common factor number is the GCF number.
So the greatest common factor 9198 and 9212 is 14.

Also check out the Least Common Multiple of 9198 and 9212