What is the Greatest Common Factor of 96186 and 96198?

Greatest common factor (GCF) of 96186 and 96198 is 6.

GCF(96186,96198) = 6

We will now calculate the prime factors of 96186 and 96198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96186 and 96198.

How to find the GCF of 96186 and 96198?

We will first find the prime factorization of 96186 and 96198. After we will calculate the factors of 96186 and 96198 and find the biggest common factor number .

Step-1: Prime Factorization of 96186

Prime factors of 96186 are 2, 3, 17, 23, 41. Prime factorization of 96186 in exponential form is:

96186 = 2¹ × 3¹ × 17¹ × 23¹ × 41¹

Step-2: Prime Factorization of 96198

Prime factors of 96198 are 2, 3, 16033. Prime factorization of 96198 in exponential form is:

96198 = 2¹ × 3¹ × 16033¹

Step-3: Factors of 96186

List of positive integer factors of 96186 that divides 96186 without a remainder.

1, 2, 3, 6, 17, 23, 34, 41, 46, 51, 69, 82, 102, 123, 138, 246, 391, 697, 782, 943, 1173, 1394, 1886, 2091, 2346, 2829, 4182, 5658, 16031, 32062, 48093

Step-4: Factors of 96198

List of positive integer factors of 96198 that divides 96186 without a remainder.

1, 2, 3, 6, 16033, 32066, 48099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96186 and 96198. The biggest common factor number is the GCF number.
So the greatest common factor 96186 and 96198 is 6.

Also check out the Least Common Multiple of 96186 and 96198