What is the Greatest Common Factor of 96185 and 96195?

Greatest common factor (GCF) of 96185 and 96195 is 5.

GCF(96185,96195) = 5

We will now calculate the prime factors of 96185 and 96195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96185 and 96195.

How to find the GCF of 96185 and 96195?

We will first find the prime factorization of 96185 and 96195. After we will calculate the factors of 96185 and 96195 and find the biggest common factor number .

Step-1: Prime Factorization of 96185

Prime factors of 96185 are 5, 19237. Prime factorization of 96185 in exponential form is:

96185 = 5¹ × 19237¹

Step-2: Prime Factorization of 96195

Prime factors of 96195 are 3, 5, 11, 53. Prime factorization of 96195 in exponential form is:

96195 = 3¹ × 5¹ × 11² × 53¹

Step-3: Factors of 96185

List of positive integer factors of 96185 that divides 96185 without a remainder.

1, 5, 19237

Step-4: Factors of 96195

List of positive integer factors of 96195 that divides 96185 without a remainder.

1, 3, 5, 11, 15, 33, 53, 55, 121, 159, 165, 265, 363, 583, 605, 795, 1749, 1815, 2915, 6413, 8745, 19239, 32065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96185 and 96195. The biggest common factor number is the GCF number.
So the greatest common factor 96185 and 96195 is 5.

Also check out the Least Common Multiple of 96185 and 96195