What is the Greatest Common Factor of 99216 and 99226?

Greatest common factor (GCF) of 99216 and 99226 is 2.

GCF(99216,99226) = 2

We will now calculate the prime factors of 99216 and 99226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99216 and 99226.

How to find the GCF of 99216 and 99226?

We will first find the prime factorization of 99216 and 99226. After we will calculate the factors of 99216 and 99226 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 99226

Prime factors of 99226 are 2, 49613. Prime factorization of 99226 in exponential form is:

99226 = 2¹ × 49613¹

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 99226

List of positive integer factors of 99226 that divides 99216 without a remainder.

1, 2, 49613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99216 and 99226. The biggest common factor number is the GCF number.
So the greatest common factor 99216 and 99226 is 2.

Also check out the Least Common Multiple of 99216 and 99226