What is the Greatest Common Factor of 99384 and 99396?

Greatest common factor (GCF) of 99384 and 99396 is 12.

GCF(99384,99396) = 12

We will now calculate the prime factors of 99384 and 99396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99384 and 99396.

How to find the GCF of 99384 and 99396?

We will first find the prime factorization of 99384 and 99396. After we will calculate the factors of 99384 and 99396 and find the biggest common factor number .

Step-1: Prime Factorization of 99384

Prime factors of 99384 are 2, 3, 41, 101. Prime factorization of 99384 in exponential form is:

99384 = 2³ × 3¹ × 41¹ × 101¹

Step-2: Prime Factorization of 99396

Prime factors of 99396 are 2, 3, 11, 251. Prime factorization of 99396 in exponential form is:

99396 = 2² × 3² × 11¹ × 251¹

Step-3: Factors of 99384

List of positive integer factors of 99384 that divides 99384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 101, 123, 164, 202, 246, 303, 328, 404, 492, 606, 808, 984, 1212, 2424, 4141, 8282, 12423, 16564, 24846, 33128, 49692

Step-4: Factors of 99396

List of positive integer factors of 99396 that divides 99384 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 251, 396, 502, 753, 1004, 1506, 2259, 2761, 3012, 4518, 5522, 8283, 9036, 11044, 16566, 24849, 33132, 49698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99384 and 99396. The biggest common factor number is the GCF number.
So the greatest common factor 99384 and 99396 is 12.

Also check out the Least Common Multiple of 99384 and 99396