What is the Greatest Common Factor of 9189 and 9198?

Greatest common factor (GCF) of 9189 and 9198 is 9.

GCF(9189,9198) = 9

We will now calculate the prime factors of 9189 and 9198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9189 and 9198.

How to find the GCF of 9189 and 9198?

We will first find the prime factorization of 9189 and 9198. After we will calculate the factors of 9189 and 9198 and find the biggest common factor number .

Step-1: Prime Factorization of 9189

Prime factors of 9189 are 3, 1021. Prime factorization of 9189 in exponential form is:

9189 = 3² × 1021¹

Step-2: 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-3: Factors of 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1, 3, 9, 1021, 3063

Step-4: Factors of 9198

List of positive integer factors of 9198 that divides 9189 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9189 and 9198. The biggest common factor number is the GCF number.
So the greatest common factor 9189 and 9198 is 9.

Also check out the Least Common Multiple of 9189 and 9198