What is the Greatest Common Factor of 99399 and 99416?

Greatest common factor (GCF) of 99399 and 99416 is 17.

GCF(99399,99416) = 17

We will now calculate the prime factors of 99399 and 99416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99399 and 99416.

How to find the GCF of 99399 and 99416?

We will first find the prime factorization of 99399 and 99416. After we will calculate the factors of 99399 and 99416 and find the biggest common factor number .

Step-1: Prime Factorization of 99399

Prime factors of 99399 are 3, 17, 1949. Prime factorization of 99399 in exponential form is:

99399 = 3¹ × 17¹ × 1949¹

Step-2: Prime Factorization of 99416

Prime factors of 99416 are 2, 17, 43. Prime factorization of 99416 in exponential form is:

99416 = 2³ × 17² × 43¹

Step-3: Factors of 99399

List of positive integer factors of 99399 that divides 99399 without a remainder.

1, 3, 17, 51, 1949, 5847, 33133

Step-4: Factors of 99416

List of positive integer factors of 99416 that divides 99399 without a remainder.

1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 289, 344, 578, 731, 1156, 1462, 2312, 2924, 5848, 12427, 24854, 49708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99399 and 99416. The biggest common factor number is the GCF number.
So the greatest common factor 99399 and 99416 is 17.

Also check out the Least Common Multiple of 99399 and 99416