What is the Greatest Common Factor of 8448 and 8455?

Greatest common factor (GCF) of 8448 and 8455 is 1.

GCF(8448,8455) = 1

We will now calculate the prime factors of 8448 and 8455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8448 and 8455.

How to find the GCF of 8448 and 8455?

We will first find the prime factorization of 8448 and 8455. After we will calculate the factors of 8448 and 8455 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 8455

Prime factors of 8455 are 5, 19, 89. Prime factorization of 8455 in exponential form is:

8455 = 5¹ × 19¹ × 89¹

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 8455

List of positive integer factors of 8455 that divides 8448 without a remainder.

1, 5, 19, 89, 95, 445, 1691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8448 and 8455. The biggest common factor number is the GCF number.
So the greatest common factor 8448 and 8455 is 1.

Also check out the Least Common Multiple of 8448 and 8455