What is the Greatest Common Factor of 15189 and 15195?

Greatest common factor (GCF) of 15189 and 15195 is 3.

GCF(15189,15195) = 3

We will now calculate the prime factors of 15189 and 15195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15189 and 15195.

How to find the GCF of 15189 and 15195?

We will first find the prime factorization of 15189 and 15195. After we will calculate the factors of 15189 and 15195 and find the biggest common factor number .

Step-1: Prime Factorization of 15189

Prime factors of 15189 are 3, 61, 83. Prime factorization of 15189 in exponential form is:

15189 = 3¹ × 61¹ × 83¹

Step-2: Prime Factorization of 15195

Prime factors of 15195 are 3, 5, 1013. Prime factorization of 15195 in exponential form is:

15195 = 3¹ × 5¹ × 1013¹

Step-3: Factors of 15189

List of positive integer factors of 15189 that divides 15189 without a remainder.

1, 3, 61, 83, 183, 249, 5063

Step-4: Factors of 15195

List of positive integer factors of 15195 that divides 15189 without a remainder.

1, 3, 5, 15, 1013, 3039, 5065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15189 and 15195. The biggest common factor number is the GCF number.
So the greatest common factor 15189 and 15195 is 3.

Also check out the Least Common Multiple of 15189 and 15195