What is the Greatest Common Factor of 96165 and 96174?

Greatest common factor (GCF) of 96165 and 96174 is 9.

GCF(96165,96174) = 9

We will now calculate the prime factors of 96165 and 96174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96165 and 96174.

How to find the GCF of 96165 and 96174?

We will first find the prime factorization of 96165 and 96174. After we will calculate the factors of 96165 and 96174 and find the biggest common factor number .

Step-1: Prime Factorization of 96165

Prime factors of 96165 are 3, 5, 2137. Prime factorization of 96165 in exponential form is:

96165 = 3² × 5¹ × 2137¹

Step-2: 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-3: Factors of 96165

List of positive integer factors of 96165 that divides 96165 without a remainder.

1, 3, 5, 9, 15, 45, 2137, 6411, 10685, 19233, 32055

Step-4: Factors of 96174

List of positive integer factors of 96174 that divides 96165 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96165 and 96174. The biggest common factor number is the GCF number.
So the greatest common factor 96165 and 96174 is 9.

Also check out the Least Common Multiple of 96165 and 96174