What is the Greatest Common Factor of 99216 and 99225?

Greatest common factor (GCF) of 99216 and 99225 is 9.

GCF(99216,99225) = 9

We will now calculate the prime factors of 99216 and 99225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99216 and 99225.

How to find the GCF of 99216 and 99225?

We will first find the prime factorization of 99216 and 99225. After we will calculate the factors of 99216 and 99225 and find the biggest common factor number .

Step-1: Prime Factorization of 99216

Prime factors of 99216 are 2, 3, 13, 53. Prime factorization of 99216 in exponential form is:

99216 = 2⁴ × 3² × 13¹ × 53¹

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 99216

List of positive integer factors of 99216 that divides 99216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 53, 72, 78, 104, 106, 117, 144, 156, 159, 208, 212, 234, 312, 318, 424, 468, 477, 624, 636, 689, 848, 936, 954, 1272, 1378, 1872, 1908, 2067, 2544, 2756, 3816, 4134, 5512, 6201, 7632, 8268, 11024, 12402, 16536, 24804, 33072, 49608

Step-4: Factors of 99225

List of positive integer factors of 99225 that divides 99216 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 99216 and 99225. The biggest common factor number is the GCF number.
So the greatest common factor 99216 and 99225 is 9.

Also check out the Least Common Multiple of 99216 and 99225