What is the Greatest Common Factor of 15171 and 15184?

Greatest common factor (GCF) of 15171 and 15184 is 13.

GCF(15171,15184) = 13

We will now calculate the prime factors of 15171 and 15184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15171 and 15184.

How to find the GCF of 15171 and 15184?

We will first find the prime factorization of 15171 and 15184. After we will calculate the factors of 15171 and 15184 and find the biggest common factor number .

Step-1: Prime Factorization of 15171

Prime factors of 15171 are 3, 13, 389. Prime factorization of 15171 in exponential form is:

15171 = 3¹ × 13¹ × 389¹

Step-2: Prime Factorization of 15184

Prime factors of 15184 are 2, 13, 73. Prime factorization of 15184 in exponential form is:

15184 = 2⁴ × 13¹ × 73¹

Step-3: Factors of 15171

List of positive integer factors of 15171 that divides 15171 without a remainder.

1, 3, 13, 39, 389, 1167, 5057

Step-4: Factors of 15184

List of positive integer factors of 15184 that divides 15171 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15171 and 15184. The biggest common factor number is the GCF number.
So the greatest common factor 15171 and 15184 is 13.

Also check out the Least Common Multiple of 15171 and 15184