What is the Greatest Common Factor of 99381 and 99393?

Greatest common factor (GCF) of 99381 and 99393 is 3.

GCF(99381,99393) = 3

We will now calculate the prime factors of 99381 and 99393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99381 and 99393.

How to find the GCF of 99381 and 99393?

We will first find the prime factorization of 99381 and 99393. After we will calculate the factors of 99381 and 99393 and find the biggest common factor number .

Step-1: Prime Factorization of 99381

Prime factors of 99381 are 3, 157, 211. Prime factorization of 99381 in exponential form is:

99381 = 3¹ × 157¹ × 211¹

Step-2: Prime Factorization of 99393

Prime factors of 99393 are 3, 7, 4733. Prime factorization of 99393 in exponential form is:

99393 = 3¹ × 7¹ × 4733¹

Step-3: Factors of 99381

List of positive integer factors of 99381 that divides 99381 without a remainder.

1, 3, 157, 211, 471, 633, 33127

Step-4: Factors of 99393

List of positive integer factors of 99393 that divides 99381 without a remainder.

1, 3, 7, 21, 4733, 14199, 33131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99381 and 99393. The biggest common factor number is the GCF number.
So the greatest common factor 99381 and 99393 is 3.

Also check out the Least Common Multiple of 99381 and 99393