What is the Greatest Common Factor of 15232 and 15249?

Greatest common factor (GCF) of 15232 and 15249 is 17.

GCF(15232,15249) = 17

We will now calculate the prime factors of 15232 and 15249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15232 and 15249.

How to find the GCF of 15232 and 15249?

We will first find the prime factorization of 15232 and 15249. After we will calculate the factors of 15232 and 15249 and find the biggest common factor number .

Step-1: Prime Factorization of 15232

Prime factors of 15232 are 2, 7, 17. Prime factorization of 15232 in exponential form is:

15232 = 2⁷ × 7¹ × 17¹

Step-2: 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-3: Factors of 15232

List of positive integer factors of 15232 that divides 15232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616

Step-4: Factors of 15249

List of positive integer factors of 15249 that divides 15232 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15232 and 15249. The biggest common factor number is the GCF number.
So the greatest common factor 15232 and 15249 is 17.

Also check out the Least Common Multiple of 15232 and 15249