What is the Greatest Common Factor of 15181 and 15198?

Greatest common factor (GCF) of 15181 and 15198 is 17.

GCF(15181,15198) = 17

We will now calculate the prime factors of 15181 and 15198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15181 and 15198.

How to find the GCF of 15181 and 15198?

We will first find the prime factorization of 15181 and 15198. After we will calculate the factors of 15181 and 15198 and find the biggest common factor number .

Step-1: Prime Factorization of 15181

Prime factors of 15181 are 17, 19, 47. Prime factorization of 15181 in exponential form is:

15181 = 17¹ × 19¹ × 47¹

Step-2: Prime Factorization of 15198

Prime factors of 15198 are 2, 3, 17, 149. Prime factorization of 15198 in exponential form is:

15198 = 2¹ × 3¹ × 17¹ × 149¹

Step-3: Factors of 15181

List of positive integer factors of 15181 that divides 15181 without a remainder.

1, 17, 19, 47, 323, 799, 893

Step-4: Factors of 15198

List of positive integer factors of 15198 that divides 15181 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 149, 298, 447, 894, 2533, 5066, 7599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15181 and 15198. The biggest common factor number is the GCF number.
So the greatest common factor 15181 and 15198 is 17.

Also check out the Least Common Multiple of 15181 and 15198