What is the Greatest Common Factor of 96192 and 96204?

Greatest common factor (GCF) of 96192 and 96204 is 12.

GCF(96192,96204) = 12

We will now calculate the prime factors of 96192 and 96204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96192 and 96204.

How to find the GCF of 96192 and 96204?

We will first find the prime factorization of 96192 and 96204. After we will calculate the factors of 96192 and 96204 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 96204

Prime factors of 96204 are 2, 3, 8017. Prime factorization of 96204 in exponential form is:

96204 = 2² × 3¹ × 8017¹

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 96204

List of positive integer factors of 96204 that divides 96192 without a remainder.

1, 2, 3, 4, 6, 12, 8017, 16034, 24051, 32068, 48102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96192 and 96204. The biggest common factor number is the GCF number.
So the greatest common factor 96192 and 96204 is 12.

Also check out the Least Common Multiple of 96192 and 96204