What is the Greatest Common Factor of 99205 and 99225?

Greatest common factor (GCF) of 99205 and 99225 is 5.

GCF(99205,99225) = 5

We will now calculate the prime factors of 99205 and 99225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99205 and 99225.

How to find the GCF of 99205 and 99225?

We will first find the prime factorization of 99205 and 99225. After we will calculate the factors of 99205 and 99225 and find the biggest common factor number .

Step-1: Prime Factorization of 99205

Prime factors of 99205 are 5, 19841. Prime factorization of 99205 in exponential form is:

99205 = 5¹ × 19841¹

Step-2: Prime Factorization of 99225

Prime factors of 99225 are 3, 5, 7. Prime factorization of 99225 in exponential form is:

99225 = 3⁴ × 5² × 7²

Step-3: Factors of 99205

List of positive integer factors of 99205 that divides 99205 without a remainder.

1, 5, 19841

Step-4: Factors of 99225

List of positive integer factors of 99225 that divides 99205 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 49, 63, 75, 81, 105, 135, 147, 175, 189, 225, 245, 315, 405, 441, 525, 567, 675, 735, 945, 1225, 1323, 1575, 2025, 2205, 2835, 3675, 3969, 4725, 6615, 11025, 14175, 19845, 33075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99205 and 99225. The biggest common factor number is the GCF number.
So the greatest common factor 99205 and 99225 is 5.

Also check out the Least Common Multiple of 99205 and 99225