What is the Greatest Common Factor of 54500 and 54506?

Greatest common factor (GCF) of 54500 and 54506 is 2.

GCF(54500,54506) = 2

We will now calculate the prime factors of 54500 and 54506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54500 and 54506.

How to find the GCF of 54500 and 54506?

We will first find the prime factorization of 54500 and 54506. After we will calculate the factors of 54500 and 54506 and find the biggest common factor number .

Step-1: Prime Factorization of 54500

Prime factors of 54500 are 2, 5, 109. Prime factorization of 54500 in exponential form is:

54500 = 2² × 5³ × 109¹

Step-2: Prime Factorization of 54506

Prime factors of 54506 are 2, 27253. Prime factorization of 54506 in exponential form is:

54506 = 2¹ × 27253¹

Step-3: Factors of 54500

List of positive integer factors of 54500 that divides 54500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 109, 125, 218, 250, 436, 500, 545, 1090, 2180, 2725, 5450, 10900, 13625, 27250

Step-4: Factors of 54506

List of positive integer factors of 54506 that divides 54500 without a remainder.

1, 2, 27253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54500 and 54506. The biggest common factor number is the GCF number.
So the greatest common factor 54500 and 54506 is 2.

Also check out the Least Common Multiple of 54500 and 54506