What is the Greatest Common Factor of 96185 and 96205?

Greatest common factor (GCF) of 96185 and 96205 is 5.

GCF(96185,96205) = 5

We will now calculate the prime factors of 96185 and 96205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96185 and 96205.

How to find the GCF of 96185 and 96205?

We will first find the prime factorization of 96185 and 96205. After we will calculate the factors of 96185 and 96205 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 96205

Prime factors of 96205 are 5, 71, 271. Prime factorization of 96205 in exponential form is:

96205 = 5¹ × 71¹ × 271¹

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 96205

List of positive integer factors of 96205 that divides 96185 without a remainder.

1, 5, 71, 271, 355, 1355, 19241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96185 and 96205. The biggest common factor number is the GCF number.
So the greatest common factor 96185 and 96205 is 5.

Also check out the Least Common Multiple of 96185 and 96205