What is the Greatest Common Factor of 13230 and 13248?

Greatest common factor (GCF) of 13230 and 13248 is 18.

GCF(13230,13248) = 18

We will now calculate the prime factors of 13230 and 13248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13230 and 13248.

How to find the GCF of 13230 and 13248?

We will first find the prime factorization of 13230 and 13248. After we will calculate the factors of 13230 and 13248 and find the biggest common factor number .

Step-1: Prime Factorization of 13230

Prime factors of 13230 are 2, 3, 5, 7. Prime factorization of 13230 in exponential form is:

13230 = 2¹ × 3³ × 5¹ × 7²

Step-2: 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-3: Factors of 13230

List of positive integer factors of 13230 that divides 13230 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 90, 98, 105, 126, 135, 147, 189, 210, 245, 270, 294, 315, 378, 441, 490, 630, 735, 882, 945, 1323, 1470, 1890, 2205, 2646, 4410, 6615

Step-4: Factors of 13248

List of positive integer factors of 13248 that divides 13230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13230 and 13248. The biggest common factor number is the GCF number.
So the greatest common factor 13230 and 13248 is 18.

Also check out the Least Common Multiple of 13230 and 13248