What is the Greatest Common Factor of 15249 and 15266?

Greatest common factor (GCF) of 15249 and 15266 is 17.

GCF(15249,15266) = 17

We will now calculate the prime factors of 15249 and 15266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15249 and 15266.

How to find the GCF of 15249 and 15266?

We will first find the prime factorization of 15249 and 15266. After we will calculate the factors of 15249 and 15266 and find the biggest common factor number .

Step-1: Prime Factorization of 15249

Prime factors of 15249 are 3, 13, 17, 23. Prime factorization of 15249 in exponential form is:

15249 = 3¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 15266

Prime factors of 15266 are 2, 17, 449. Prime factorization of 15266 in exponential form is:

15266 = 2¹ × 17¹ × 449¹

Step-3: Factors of 15249

List of positive integer factors of 15249 that divides 15249 without a remainder.

1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083

Step-4: Factors of 15266

List of positive integer factors of 15266 that divides 15249 without a remainder.

1, 2, 17, 34, 449, 898, 7633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15249 and 15266. The biggest common factor number is the GCF number.
So the greatest common factor 15249 and 15266 is 17.

Also check out the Least Common Multiple of 15249 and 15266