What is the Greatest Common Factor of 99396 and 99414?

Greatest common factor (GCF) of 99396 and 99414 is 18.

GCF(99396,99414) = 18

We will now calculate the prime factors of 99396 and 99414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99396 and 99414.

How to find the GCF of 99396 and 99414?

We will first find the prime factorization of 99396 and 99414. After we will calculate the factors of 99396 and 99414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99414

Prime factors of 99414 are 2, 3, 7, 263. Prime factorization of 99414 in exponential form is:

99414 = 2¹ × 3³ × 7¹ × 263¹

Step-3: Factors of 99396

List of positive integer factors of 99396 that divides 99396 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

Step-4: Factors of 99414

List of positive integer factors of 99414 that divides 99396 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 263, 378, 526, 789, 1578, 1841, 2367, 3682, 4734, 5523, 7101, 11046, 14202, 16569, 33138, 49707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99396 and 99414. The biggest common factor number is the GCF number.
So the greatest common factor 99396 and 99414 is 18.

Also check out the Least Common Multiple of 99396 and 99414