What is the Greatest Common Factor of 99366 and 99375?

Greatest common factor (GCF) of 99366 and 99375 is 3.

GCF(99366,99375) = 3

We will now calculate the prime factors of 99366 and 99375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99366 and 99375.

How to find the GCF of 99366 and 99375?

We will first find the prime factorization of 99366 and 99375. After we will calculate the factors of 99366 and 99375 and find the biggest common factor number .

Step-1: Prime Factorization of 99366

Prime factors of 99366 are 2, 3, 16561. Prime factorization of 99366 in exponential form is:

99366 = 2¹ × 3¹ × 16561¹

Step-2: Prime Factorization of 99375

Prime factors of 99375 are 3, 5, 53. Prime factorization of 99375 in exponential form is:

99375 = 3¹ × 5⁴ × 53¹

Step-3: Factors of 99366

List of positive integer factors of 99366 that divides 99366 without a remainder.

1, 2, 3, 6, 16561, 33122, 49683

Step-4: Factors of 99375

List of positive integer factors of 99375 that divides 99366 without a remainder.

1, 3, 5, 15, 25, 53, 75, 125, 159, 265, 375, 625, 795, 1325, 1875, 3975, 6625, 19875, 33125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99366 and 99375. The biggest common factor number is the GCF number.
So the greatest common factor 99366 and 99375 is 3.

Also check out the Least Common Multiple of 99366 and 99375