What is the Greatest Common Factor of 15249 and 15253?

Greatest common factor (GCF) of 15249 and 15253 is 1.

GCF(15249,15253) = 1

We will now calculate the prime factors of 15249 and 15253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15249 and 15253.

How to find the GCF of 15249 and 15253?

We will first find the prime factorization of 15249 and 15253. After we will calculate the factors of 15249 and 15253 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 15253

Prime factors of 15253 are 7, 2179. Prime factorization of 15253 in exponential form is:

15253 = 7¹ × 2179¹

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 15253

List of positive integer factors of 15253 that divides 15249 without a remainder.

1, 7, 2179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15249 and 15253. The biggest common factor number is the GCF number.
So the greatest common factor 15249 and 15253 is 1.

Also check out the Least Common Multiple of 15249 and 15253