What is the Greatest Common Factor of 99138 and 99150?

Greatest common factor (GCF) of 99138 and 99150 is 6.

GCF(99138,99150) = 6

We will now calculate the prime factors of 99138 and 99150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99138 and 99150.

How to find the GCF of 99138 and 99150?

We will first find the prime factorization of 99138 and 99150. After we will calculate the factors of 99138 and 99150 and find the biggest common factor number .

Step-1: Prime Factorization of 99138

Prime factors of 99138 are 2, 3, 13, 31, 41. Prime factorization of 99138 in exponential form is:

99138 = 2¹ × 3¹ × 13¹ × 31¹ × 41¹

Step-2: Prime Factorization of 99150

Prime factors of 99150 are 2, 3, 5, 661. Prime factorization of 99150 in exponential form is:

99150 = 2¹ × 3¹ × 5² × 661¹

Step-3: Factors of 99138

List of positive integer factors of 99138 that divides 99138 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 41, 62, 78, 82, 93, 123, 186, 246, 403, 533, 806, 1066, 1209, 1271, 1599, 2418, 2542, 3198, 3813, 7626, 16523, 33046, 49569

Step-4: Factors of 99150

List of positive integer factors of 99150 that divides 99138 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 661, 1322, 1983, 3305, 3966, 6610, 9915, 16525, 19830, 33050, 49575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99138 and 99150. The biggest common factor number is the GCF number.
So the greatest common factor 99138 and 99150 is 6.

Also check out the Least Common Multiple of 99138 and 99150