What is the Greatest Common Factor of 99189 and 99204?

Greatest common factor (GCF) of 99189 and 99204 is 3.

GCF(99189,99204) = 3

We will now calculate the prime factors of 99189 and 99204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99189 and 99204.

How to find the GCF of 99189 and 99204?

We will first find the prime factorization of 99189 and 99204. After we will calculate the factors of 99189 and 99204 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99204

Prime factors of 99204 are 2, 3, 7, 1181. Prime factorization of 99204 in exponential form is:

99204 = 2² × 3¹ × 7¹ × 1181¹

Step-3: Factors of 99189

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

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

Step-4: Factors of 99204

List of positive integer factors of 99204 that divides 99189 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1181, 2362, 3543, 4724, 7086, 8267, 14172, 16534, 24801, 33068, 49602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99189 and 99204. The biggest common factor number is the GCF number.
So the greatest common factor 99189 and 99204 is 3.

Also check out the Least Common Multiple of 99189 and 99204