What is the Greatest Common Factor of 96174 and 96192?

Greatest common factor (GCF) of 96174 and 96192 is 18.

GCF(96174,96192) = 18

We will now calculate the prime factors of 96174 and 96192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96174 and 96192.

How to find the GCF of 96174 and 96192?

We will first find the prime factorization of 96174 and 96192. After we will calculate the factors of 96174 and 96192 and find the biggest common factor number .

Step-1: Prime Factorization of 96174

Prime factors of 96174 are 2, 3, 13, 137. Prime factorization of 96174 in exponential form is:

96174 = 2¹ × 3³ × 13¹ × 137¹

Step-2: 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-3: Factors of 96174

List of positive integer factors of 96174 that divides 96174 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 137, 234, 274, 351, 411, 702, 822, 1233, 1781, 2466, 3562, 3699, 5343, 7398, 10686, 16029, 32058, 48087

Step-4: Factors of 96192

List of positive integer factors of 96192 that divides 96174 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96174 and 96192. The biggest common factor number is the GCF number.
So the greatest common factor 96174 and 96192 is 18.

Also check out the Least Common Multiple of 96174 and 96192