What is the Greatest Common Factor of 54800 and 54811?

Greatest common factor (GCF) of 54800 and 54811 is 1.

GCF(54800,54811) = 1

We will now calculate the prime factors of 54800 and 54811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54800 and 54811.

How to find the GCF of 54800 and 54811?

We will first find the prime factorization of 54800 and 54811. After we will calculate the factors of 54800 and 54811 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 54811

Prime factors of 54811 are 59, 929. Prime factorization of 54811 in exponential form is:

54811 = 59¹ × 929¹

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 54811

List of positive integer factors of 54811 that divides 54800 without a remainder.

1, 59, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54800 and 54811. The biggest common factor number is the GCF number.
So the greatest common factor 54800 and 54811 is 1.

Also check out the Least Common Multiple of 54800 and 54811