What is the Greatest Common Factor of 93189 and 93195?

Greatest common factor (GCF) of 93189 and 93195 is 3.

GCF(93189,93195) = 3

We will now calculate the prime factors of 93189 and 93195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93189 and 93195.

How to find the GCF of 93189 and 93195?

We will first find the prime factorization of 93189 and 93195. After we will calculate the factors of 93189 and 93195 and find the biggest common factor number .

Step-1: Prime Factorization of 93189

Prime factors of 93189 are 3, 31063. Prime factorization of 93189 in exponential form is:

93189 = 3¹ × 31063¹

Step-2: Prime Factorization of 93195

Prime factors of 93195 are 3, 5, 19, 109. Prime factorization of 93195 in exponential form is:

93195 = 3² × 5¹ × 19¹ × 109¹

Step-3: Factors of 93189

List of positive integer factors of 93189 that divides 93189 without a remainder.

1, 3, 31063

Step-4: Factors of 93195

List of positive integer factors of 93195 that divides 93189 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 109, 171, 285, 327, 545, 855, 981, 1635, 2071, 4905, 6213, 10355, 18639, 31065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93189 and 93195. The biggest common factor number is the GCF number.
So the greatest common factor 93189 and 93195 is 3.

Also check out the Least Common Multiple of 93189 and 93195