What is the Greatest Common Factor of 9198 and 9206?

Greatest common factor (GCF) of 9198 and 9206 is 2.

GCF(9198,9206) = 2

We will now calculate the prime factors of 9198 and 9206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9198 and 9206.

How to find the GCF of 9198 and 9206?

We will first find the prime factorization of 9198 and 9206. After we will calculate the factors of 9198 and 9206 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 9206

Prime factors of 9206 are 2, 4603. Prime factorization of 9206 in exponential form is:

9206 = 2¹ × 4603¹

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 9206

List of positive integer factors of 9206 that divides 9198 without a remainder.

1, 2, 4603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9198 and 9206. The biggest common factor number is the GCF number.
So the greatest common factor 9198 and 9206 is 2.

Also check out the Least Common Multiple of 9198 and 9206