What is the Greatest Common Factor of 96205 and 96210?

Greatest common factor (GCF) of 96205 and 96210 is 5.

GCF(96205,96210) = 5

We will now calculate the prime factors of 96205 and 96210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96205 and 96210.

How to find the GCF of 96205 and 96210?

We will first find the prime factorization of 96205 and 96210. After we will calculate the factors of 96205 and 96210 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96210

Prime factors of 96210 are 2, 3, 5, 1069. Prime factorization of 96210 in exponential form is:

96210 = 2¹ × 3² × 5¹ × 1069¹

Step-3: Factors of 96205

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

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

Step-4: Factors of 96210

List of positive integer factors of 96210 that divides 96205 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1069, 2138, 3207, 5345, 6414, 9621, 10690, 16035, 19242, 32070, 48105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96205 and 96210. The biggest common factor number is the GCF number.
So the greatest common factor 96205 and 96210 is 5.

Also check out the Least Common Multiple of 96205 and 96210