What is the Greatest Common Factor of 99177 and 99189?

Greatest common factor (GCF) of 99177 and 99189 is 3.

GCF(99177,99189) = 3

We will now calculate the prime factors of 99177 and 99189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99177 and 99189.

How to find the GCF of 99177 and 99189?

We will first find the prime factorization of 99177 and 99189. After we will calculate the factors of 99177 and 99189 and find the biggest common factor number .

Step-1: Prime Factorization of 99177

Prime factors of 99177 are 3, 13, 2543. Prime factorization of 99177 in exponential form is:

99177 = 3¹ × 13¹ × 2543¹

Step-2: Prime Factorization of 99189

Prime factors of 99189 are 3, 103, 107. Prime factorization of 99189 in exponential form is:

99189 = 3² × 103¹ × 107¹

Step-3: Factors of 99177

List of positive integer factors of 99177 that divides 99177 without a remainder.

1, 3, 13, 39, 2543, 7629, 33059

Step-4: Factors of 99189

List of positive integer factors of 99189 that divides 99177 without a remainder.

1, 3, 9, 103, 107, 309, 321, 927, 963, 11021, 33063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99177 and 99189. The biggest common factor number is the GCF number.
So the greatest common factor 99177 and 99189 is 3.

Also check out the Least Common Multiple of 99177 and 99189