What is the Greatest Common Factor of 99198 and 99216?

Greatest common factor (GCF) of 99198 and 99216 is 18.

GCF(99198,99216) = 18

We will now calculate the prime factors of 99198 and 99216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99198 and 99216.

How to find the GCF of 99198 and 99216?

We will first find the prime factorization of 99198 and 99216. After we will calculate the factors of 99198 and 99216 and find the biggest common factor number .

Step-1: Prime Factorization of 99198

Prime factors of 99198 are 2, 3, 11, 167. Prime factorization of 99198 in exponential form is:

99198 = 2¹ × 3³ × 11¹ × 167¹

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 99198

List of positive integer factors of 99198 that divides 99198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 167, 198, 297, 334, 501, 594, 1002, 1503, 1837, 3006, 3674, 4509, 5511, 9018, 11022, 16533, 33066, 49599

Step-4: Factors of 99216

List of positive integer factors of 99216 that divides 99198 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 99198 and 99216. The biggest common factor number is the GCF number.
So the greatest common factor 99198 and 99216 is 18.

Also check out the Least Common Multiple of 99198 and 99216