What is the Greatest Common Factor of 99975 and 99981?

Greatest common factor (GCF) of 99975 and 99981 is 3.

GCF(99975,99981) = 3

We will now calculate the prime factors of 99975 and 99981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99975 and 99981.

How to find the GCF of 99975 and 99981?

We will first find the prime factorization of 99975 and 99981. After we will calculate the factors of 99975 and 99981 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99981

Prime factors of 99981 are 3, 7, 23. Prime factorization of 99981 in exponential form is:

99981 = 3³ × 7¹ × 23²

Step-3: Factors of 99975

List of positive integer factors of 99975 that divides 99975 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

Step-4: Factors of 99981

List of positive integer factors of 99981 that divides 99975 without a remainder.

1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 529, 621, 1449, 1587, 3703, 4347, 4761, 11109, 14283, 33327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99975 and 99981. The biggest common factor number is the GCF number.
So the greatest common factor 99975 and 99981 is 3.

Also check out the Least Common Multiple of 99975 and 99981