What is the Greatest Common Factor of 99216 and 99229?

Greatest common factor (GCF) of 99216 and 99229 is 13.

GCF(99216,99229) = 13

We will now calculate the prime factors of 99216 and 99229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99216 and 99229.

How to find the GCF of 99216 and 99229?

We will first find the prime factorization of 99216 and 99229. After we will calculate the factors of 99216 and 99229 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 99229

Prime factors of 99229 are 13, 17, 449. Prime factorization of 99229 in exponential form is:

99229 = 13¹ × 17¹ × 449¹

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 99229

List of positive integer factors of 99229 that divides 99216 without a remainder.

1, 13, 17, 221, 449, 5837, 7633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99216 and 99229. The biggest common factor number is the GCF number.
So the greatest common factor 99216 and 99229 is 13.

Also check out the Least Common Multiple of 99216 and 99229