What is the Greatest Common Factor of 99203 and 99216?

Greatest common factor (GCF) of 99203 and 99216 is 13.

GCF(99203,99216) = 13

We will now calculate the prime factors of 99203 and 99216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99203 and 99216.

How to find the GCF of 99203 and 99216?

We will first find the prime factorization of 99203 and 99216. After we will calculate the factors of 99203 and 99216 and find the biggest common factor number .

Step-1: Prime Factorization of 99203

Prime factors of 99203 are 13, 587. Prime factorization of 99203 in exponential form is:

99203 = 13² × 587¹

Step-2: 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-3: Factors of 99203

List of positive integer factors of 99203 that divides 99203 without a remainder.

1, 13, 169, 587, 7631

Step-4: Factors of 99216

List of positive integer factors of 99216 that divides 99203 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99203 and 99216. The biggest common factor number is the GCF number.
So the greatest common factor 99203 and 99216 is 13.

Also check out the Least Common Multiple of 99203 and 99216