What is the Greatest Common Factor of 96192 and 96206?

Greatest common factor (GCF) of 96192 and 96206 is 2.

GCF(96192,96206) = 2

We will now calculate the prime factors of 96192 and 96206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96192 and 96206.

How to find the GCF of 96192 and 96206?

We will first find the prime factorization of 96192 and 96206. After we will calculate the factors of 96192 and 96206 and find the biggest common factor number .

Step-1: Prime Factorization of 96192

Prime factors of 96192 are 2, 3, 167. Prime factorization of 96192 in exponential form is:

96192 = 2⁶ × 3² × 167¹

Step-2: Prime Factorization of 96206

Prime factors of 96206 are 2, 11, 4373. Prime factorization of 96206 in exponential form is:

96206 = 2¹ × 11¹ × 4373¹

Step-3: Factors of 96192

List of positive integer factors of 96192 that divides 96192 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 167, 192, 288, 334, 501, 576, 668, 1002, 1336, 1503, 2004, 2672, 3006, 4008, 5344, 6012, 8016, 10688, 12024, 16032, 24048, 32064, 48096

Step-4: Factors of 96206

List of positive integer factors of 96206 that divides 96192 without a remainder.

1, 2, 11, 22, 4373, 8746, 48103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96192 and 96206. The biggest common factor number is the GCF number.
So the greatest common factor 96192 and 96206 is 2.

Also check out the Least Common Multiple of 96192 and 96206