What is the Greatest Common Factor of 54800 and 54814?

Greatest common factor (GCF) of 54800 and 54814 is 2.

GCF(54800,54814) = 2

We will now calculate the prime factors of 54800 and 54814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54800 and 54814.

How to find the GCF of 54800 and 54814?

We will first find the prime factorization of 54800 and 54814. After we will calculate the factors of 54800 and 54814 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 54814

Prime factors of 54814 are 2, 27407. Prime factorization of 54814 in exponential form is:

54814 = 2¹ × 27407¹

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 54814

List of positive integer factors of 54814 that divides 54800 without a remainder.

1, 2, 27407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54800 and 54814. The biggest common factor number is the GCF number.
So the greatest common factor 54800 and 54814 is 2.

Also check out the Least Common Multiple of 54800 and 54814