What is the Greatest Common Factor of 99381 and 99399?

Greatest common factor (GCF) of 99381 and 99399 is 3.

GCF(99381,99399) = 3

We will now calculate the prime factors of 99381 and 99399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99381 and 99399.

How to find the GCF of 99381 and 99399?

We will first find the prime factorization of 99381 and 99399. After we will calculate the factors of 99381 and 99399 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 99399

Prime factors of 99399 are 3, 17, 1949. Prime factorization of 99399 in exponential form is:

99399 = 3¹ × 17¹ × 1949¹

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 99399

List of positive integer factors of 99399 that divides 99381 without a remainder.

1, 3, 17, 51, 1949, 5847, 33133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99381 and 99399. The biggest common factor number is the GCF number.
So the greatest common factor 99381 and 99399 is 3.

Also check out the Least Common Multiple of 99381 and 99399