What is the Greatest Common Factor of 99312 and 99327?

Greatest common factor (GCF) of 99312 and 99327 is 3.

GCF(99312,99327) = 3

We will now calculate the prime factors of 99312 and 99327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99312 and 99327.

How to find the GCF of 99312 and 99327?

We will first find the prime factorization of 99312 and 99327. After we will calculate the factors of 99312 and 99327 and find the biggest common factor number .

Step-1: Prime Factorization of 99312

Prime factors of 99312 are 2, 3, 2069. Prime factorization of 99312 in exponential form is:

99312 = 2⁴ × 3¹ × 2069¹

Step-2: Prime Factorization of 99327

Prime factors of 99327 are 3, 113, 293. Prime factorization of 99327 in exponential form is:

99327 = 3¹ × 113¹ × 293¹

Step-3: Factors of 99312

List of positive integer factors of 99312 that divides 99312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2069, 4138, 6207, 8276, 12414, 16552, 24828, 33104, 49656

Step-4: Factors of 99327

List of positive integer factors of 99327 that divides 99312 without a remainder.

1, 3, 113, 293, 339, 879, 33109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99312 and 99327. The biggest common factor number is the GCF number.
So the greatest common factor 99312 and 99327 is 3.

Also check out the Least Common Multiple of 99312 and 99327