What is the Greatest Common Factor of 96159 and 96165?

Greatest common factor (GCF) of 96159 and 96165 is 3.

GCF(96159,96165) = 3

We will now calculate the prime factors of 96159 and 96165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96159 and 96165.

How to find the GCF of 96159 and 96165?

We will first find the prime factorization of 96159 and 96165. After we will calculate the factors of 96159 and 96165 and find the biggest common factor number .

Step-1: Prime Factorization of 96159

Prime factors of 96159 are 3, 7, 19, 241. Prime factorization of 96159 in exponential form is:

96159 = 3¹ × 7¹ × 19¹ × 241¹

Step-2: 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-3: Factors of 96159

List of positive integer factors of 96159 that divides 96159 without a remainder.

1, 3, 7, 19, 21, 57, 133, 241, 399, 723, 1687, 4579, 5061, 13737, 32053

Step-4: Factors of 96165

List of positive integer factors of 96165 that divides 96159 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96159 and 96165. The biggest common factor number is the GCF number.
So the greatest common factor 96159 and 96165 is 3.

Also check out the Least Common Multiple of 96159 and 96165