What is the Greatest Common Factor of 54448 and 54456?

Greatest common factor (GCF) of 54448 and 54456 is 8.

GCF(54448,54456) = 8

We will now calculate the prime factors of 54448 and 54456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54448 and 54456.

How to find the GCF of 54448 and 54456?

We will first find the prime factorization of 54448 and 54456. After we will calculate the factors of 54448 and 54456 and find the biggest common factor number .

Step-1: Prime Factorization of 54448

Prime factors of 54448 are 2, 41, 83. Prime factorization of 54448 in exponential form is:

54448 = 2⁴ × 41¹ × 83¹

Step-2: Prime Factorization of 54456

Prime factors of 54456 are 2, 3, 2269. Prime factorization of 54456 in exponential form is:

54456 = 2³ × 3¹ × 2269¹

Step-3: Factors of 54448

List of positive integer factors of 54448 that divides 54448 without a remainder.

1, 2, 4, 8, 16, 41, 82, 83, 164, 166, 328, 332, 656, 664, 1328, 3403, 6806, 13612, 27224

Step-4: Factors of 54456

List of positive integer factors of 54456 that divides 54448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2269, 4538, 6807, 9076, 13614, 18152, 27228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54448 and 54456. The biggest common factor number is the GCF number.
So the greatest common factor 54448 and 54456 is 8.

Also check out the Least Common Multiple of 54448 and 54456