What is the Greatest Common Factor of 96165 and 96171?

Greatest common factor (GCF) of 96165 and 96171 is 3.

GCF(96165,96171) = 3

We will now calculate the prime factors of 96165 and 96171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96165 and 96171.

How to find the GCF of 96165 and 96171?

We will first find the prime factorization of 96165 and 96171. After we will calculate the factors of 96165 and 96171 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 96171

Prime factors of 96171 are 3, 32057. Prime factorization of 96171 in exponential form is:

96171 = 3¹ × 32057¹

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 96171

List of positive integer factors of 96171 that divides 96165 without a remainder.

1, 3, 32057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96165 and 96171. The biggest common factor number is the GCF number.
So the greatest common factor 96165 and 96171 is 3.

Also check out the Least Common Multiple of 96165 and 96171