What is the Greatest Common Factor of 8448 and 8459?

Greatest common factor (GCF) of 8448 and 8459 is 11.

GCF(8448,8459) = 11

We will now calculate the prime factors of 8448 and 8459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8448 and 8459.

How to find the GCF of 8448 and 8459?

We will first find the prime factorization of 8448 and 8459. After we will calculate the factors of 8448 and 8459 and find the biggest common factor number .

Step-1: Prime Factorization of 8448

Prime factors of 8448 are 2, 3, 11. Prime factorization of 8448 in exponential form is:

8448 = 2⁸ × 3¹ × 11¹

Step-2: Prime Factorization of 8459

Prime factors of 8459 are 11, 769. Prime factorization of 8459 in exponential form is:

8459 = 11¹ × 769¹

Step-3: Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224

Step-4: Factors of 8459

List of positive integer factors of 8459 that divides 8448 without a remainder.

1, 11, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8448 and 8459. The biggest common factor number is the GCF number.
So the greatest common factor 8448 and 8459 is 11.

Also check out the Least Common Multiple of 8448 and 8459