What is the Greatest Common Factor of 99966 and 99975?

Greatest common factor (GCF) of 99966 and 99975 is 3.

GCF(99966,99975) = 3

We will now calculate the prime factors of 99966 and 99975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99966 and 99975.

How to find the GCF of 99966 and 99975?

We will first find the prime factorization of 99966 and 99975. After we will calculate the factors of 99966 and 99975 and find the biggest common factor number .

Step-1: Prime Factorization of 99966

Prime factors of 99966 are 2, 3, 16661. Prime factorization of 99966 in exponential form is:

99966 = 2¹ × 3¹ × 16661¹

Step-2: Prime Factorization of 99975

Prime factors of 99975 are 3, 5, 31, 43. Prime factorization of 99975 in exponential form is:

99975 = 3¹ × 5² × 31¹ × 43¹

Step-3: Factors of 99966

List of positive integer factors of 99966 that divides 99966 without a remainder.

1, 2, 3, 6, 16661, 33322, 49983

Step-4: Factors of 99975

List of positive integer factors of 99975 that divides 99966 without a remainder.

1, 3, 5, 15, 25, 31, 43, 75, 93, 129, 155, 215, 465, 645, 775, 1075, 1333, 2325, 3225, 3999, 6665, 19995, 33325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99966 and 99975. The biggest common factor number is the GCF number.
So the greatest common factor 99966 and 99975 is 3.

Also check out the Least Common Multiple of 99966 and 99975