What is the Greatest Common Factor of 15178 and 15189?

Greatest common factor (GCF) of 15178 and 15189 is 1.

GCF(15178,15189) = 1

We will now calculate the prime factors of 15178 and 15189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15178 and 15189.

How to find the GCF of 15178 and 15189?

We will first find the prime factorization of 15178 and 15189. After we will calculate the factors of 15178 and 15189 and find the biggest common factor number .

Step-1: Prime Factorization of 15178

Prime factors of 15178 are 2, 7589. Prime factorization of 15178 in exponential form is:

15178 = 2¹ × 7589¹

Step-2: 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-3: Factors of 15178

List of positive integer factors of 15178 that divides 15178 without a remainder.

1, 2, 7589

Step-4: Factors of 15189

List of positive integer factors of 15189 that divides 15178 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15178 and 15189. The biggest common factor number is the GCF number.
So the greatest common factor 15178 and 15189 is 1.

Also check out the Least Common Multiple of 15178 and 15189