What is the Greatest Common Factor of 13248 and 13257?

Greatest common factor (GCF) of 13248 and 13257 is 9.

GCF(13248,13257) = 9

We will now calculate the prime factors of 13248 and 13257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13248 and 13257.

How to find the GCF of 13248 and 13257?

We will first find the prime factorization of 13248 and 13257. After we will calculate the factors of 13248 and 13257 and find the biggest common factor number .

Step-1: Prime Factorization of 13248

Prime factors of 13248 are 2, 3, 23. Prime factorization of 13248 in exponential form is:

13248 = 2⁶ × 3² × 23¹

Step-2: Prime Factorization of 13257

Prime factors of 13257 are 3, 491. Prime factorization of 13257 in exponential form is:

13257 = 3³ × 491¹

Step-3: Factors of 13248

List of positive integer factors of 13248 that divides 13248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 138, 144, 184, 192, 207, 276, 288, 368, 414, 552, 576, 736, 828, 1104, 1472, 1656, 2208, 3312, 4416, 6624

Step-4: Factors of 13257

List of positive integer factors of 13257 that divides 13248 without a remainder.

1, 3, 9, 27, 491, 1473, 4419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13248 and 13257. The biggest common factor number is the GCF number.
So the greatest common factor 13248 and 13257 is 9.

Also check out the Least Common Multiple of 13248 and 13257