What is the Greatest Common Factor of 54448 and 54454?

Greatest common factor (GCF) of 54448 and 54454 is 2.

GCF(54448,54454) = 2

We will now calculate the prime factors of 54448 and 54454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54448 and 54454.

How to find the GCF of 54448 and 54454?

We will first find the prime factorization of 54448 and 54454. After we will calculate the factors of 54448 and 54454 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 54454

Prime factors of 54454 are 2, 19, 1433. Prime factorization of 54454 in exponential form is:

54454 = 2¹ × 19¹ × 1433¹

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 54454

List of positive integer factors of 54454 that divides 54448 without a remainder.

1, 2, 19, 38, 1433, 2866, 27227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54448 and 54454. The biggest common factor number is the GCF number.
So the greatest common factor 54448 and 54454 is 2.

Also check out the Least Common Multiple of 54448 and 54454