What is the Greatest Common Factor of 9198 and 9213?

Greatest common factor (GCF) of 9198 and 9213 is 3.

GCF(9198,9213) = 3

We will now calculate the prime factors of 9198 and 9213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9198 and 9213.

How to find the GCF of 9198 and 9213?

We will first find the prime factorization of 9198 and 9213. After we will calculate the factors of 9198 and 9213 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 9213

Prime factors of 9213 are 3, 37, 83. Prime factorization of 9213 in exponential form is:

9213 = 3¹ × 37¹ × 83¹

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 9213

List of positive integer factors of 9213 that divides 9198 without a remainder.

1, 3, 37, 83, 111, 249, 3071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9198 and 9213. The biggest common factor number is the GCF number.
So the greatest common factor 9198 and 9213 is 3.

Also check out the Least Common Multiple of 9198 and 9213