What is the Greatest Common Factor of 99225 and 99231?

Greatest common factor (GCF) of 99225 and 99231 is 3.

GCF(99225,99231) = 3

We will now calculate the prime factors of 99225 and 99231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99225 and 99231.

How to find the GCF of 99225 and 99231?

We will first find the prime factorization of 99225 and 99231. After we will calculate the factors of 99225 and 99231 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 99231

Prime factors of 99231 are 3, 11, 31, 97. Prime factorization of 99231 in exponential form is:

99231 = 3¹ × 11¹ × 31¹ × 97¹

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 99231

List of positive integer factors of 99231 that divides 99225 without a remainder.

1, 3, 11, 31, 33, 93, 97, 291, 341, 1023, 1067, 3007, 3201, 9021, 33077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99225 and 99231. The biggest common factor number is the GCF number.
So the greatest common factor 99225 and 99231 is 3.

Also check out the Least Common Multiple of 99225 and 99231