What is the Greatest Common Factor of 99225 and 99230?

Greatest common factor (GCF) of 99225 and 99230 is 5.

GCF(99225,99230) = 5

We will now calculate the prime factors of 99225 and 99230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99225 and 99230.

How to find the GCF of 99225 and 99230?

We will first find the prime factorization of 99225 and 99230. After we will calculate the factors of 99225 and 99230 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99230

Prime factors of 99230 are 2, 5, 9923. Prime factorization of 99230 in exponential form is:

99230 = 2¹ × 5¹ × 9923¹

Step-3: Factors of 99225

List of positive integer factors of 99225 that divides 99225 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

Step-4: Factors of 99230

List of positive integer factors of 99230 that divides 99225 without a remainder.

1, 2, 5, 10, 9923, 19846, 49615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99225 and 99230. The biggest common factor number is the GCF number.
So the greatest common factor 99225 and 99230 is 5.

Also check out the Least Common Multiple of 99225 and 99230