What is the Greatest Common Factor of 99216 and 99234?

Greatest common factor (GCF) of 99216 and 99234 is 18.

GCF(99216,99234) = 18

We will now calculate the prime factors of 99216 and 99234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99216 and 99234.

How to find the GCF of 99216 and 99234?

We will first find the prime factorization of 99216 and 99234. After we will calculate the factors of 99216 and 99234 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 99234

Prime factors of 99234 are 2, 3, 37, 149. Prime factorization of 99234 in exponential form is:

99234 = 2¹ × 3² × 37¹ × 149¹

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 99234

List of positive integer factors of 99234 that divides 99216 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 149, 222, 298, 333, 447, 666, 894, 1341, 2682, 5513, 11026, 16539, 33078, 49617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99216 and 99234. The biggest common factor number is the GCF number.
So the greatest common factor 99216 and 99234 is 18.

Also check out the Least Common Multiple of 99216 and 99234