What is the Greatest Common Factor of 99381 and 99390?

Greatest common factor (GCF) of 99381 and 99390 is 3.

GCF(99381,99390) = 3

We will now calculate the prime factors of 99381 and 99390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99381 and 99390.

How to find the GCF of 99381 and 99390?

We will first find the prime factorization of 99381 and 99390. After we will calculate the factors of 99381 and 99390 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 99390

Prime factors of 99390 are 2, 3, 5, 3313. Prime factorization of 99390 in exponential form is:

99390 = 2¹ × 3¹ × 5¹ × 3313¹

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 99390

List of positive integer factors of 99390 that divides 99381 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3313, 6626, 9939, 16565, 19878, 33130, 49695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99381 and 99390. The biggest common factor number is the GCF number.
So the greatest common factor 99381 and 99390 is 3.

Also check out the Least Common Multiple of 99381 and 99390