What is the Greatest Common Factor of 99225 and 99235?

Greatest common factor (GCF) of 99225 and 99235 is 5.

GCF(99225,99235) = 5

We will now calculate the prime factors of 99225 and 99235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99225 and 99235.

How to find the GCF of 99225 and 99235?

We will first find the prime factorization of 99225 and 99235. After we will calculate the factors of 99225 and 99235 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 99235

Prime factors of 99235 are 5, 89, 223. Prime factorization of 99235 in exponential form is:

99235 = 5¹ × 89¹ × 223¹

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 99235

List of positive integer factors of 99235 that divides 99225 without a remainder.

1, 5, 89, 223, 445, 1115, 19847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99225 and 99235. The biggest common factor number is the GCF number.
So the greatest common factor 99225 and 99235 is 5.

Also check out the Least Common Multiple of 99225 and 99235