What is the Greatest Common Factor of 99216 and 99227?

Greatest common factor (GCF) of 99216 and 99227 is 1.

GCF(99216,99227) = 1

We will now calculate the prime factors of 99216 and 99227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99216 and 99227.

How to find the GCF of 99216 and 99227?

We will first find the prime factorization of 99216 and 99227. After we will calculate the factors of 99216 and 99227 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 99227

Prime factors of 99227 are 67, 1481. Prime factorization of 99227 in exponential form is:

99227 = 67¹ × 1481¹

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 99227

List of positive integer factors of 99227 that divides 99216 without a remainder.

1, 67, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99216 and 99227. The biggest common factor number is the GCF number.
So the greatest common factor 99216 and 99227 is 1.

Also check out the Least Common Multiple of 99216 and 99227