What is the Greatest Common Factor of 54800 and 54817?

Greatest common factor (GCF) of 54800 and 54817 is 1.

GCF(54800,54817) = 1

We will now calculate the prime factors of 54800 and 54817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54800 and 54817.

How to find the GCF of 54800 and 54817?

We will first find the prime factorization of 54800 and 54817. After we will calculate the factors of 54800 and 54817 and find the biggest common factor number .

Step-1: Prime Factorization of 54800

Prime factors of 54800 are 2, 5, 137. Prime factorization of 54800 in exponential form is:

54800 = 2⁴ × 5² × 137¹

Step-2: Prime Factorization of 54817

Prime factors of 54817 are 7, 41, 191. Prime factorization of 54817 in exponential form is:

54817 = 7¹ × 41¹ × 191¹

Step-3: Factors of 54800

List of positive integer factors of 54800 that divides 54800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 137, 200, 274, 400, 548, 685, 1096, 1370, 2192, 2740, 3425, 5480, 6850, 10960, 13700, 27400

Step-4: Factors of 54817

List of positive integer factors of 54817 that divides 54800 without a remainder.

1, 7, 41, 191, 287, 1337, 7831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54800 and 54817. The biggest common factor number is the GCF number.
So the greatest common factor 54800 and 54817 is 1.

Also check out the Least Common Multiple of 54800 and 54817