What is the Greatest Common Factor of 54500 and 54520?

Greatest common factor (GCF) of 54500 and 54520 is 20.

GCF(54500,54520) = 20

We will now calculate the prime factors of 54500 and 54520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54500 and 54520.

How to find the GCF of 54500 and 54520?

We will first find the prime factorization of 54500 and 54520. After we will calculate the factors of 54500 and 54520 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 54520

Prime factors of 54520 are 2, 5, 29, 47. Prime factorization of 54520 in exponential form is:

54520 = 2³ × 5¹ × 29¹ × 47¹

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 54520

List of positive integer factors of 54520 that divides 54500 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 47, 58, 94, 116, 145, 188, 232, 235, 290, 376, 470, 580, 940, 1160, 1363, 1880, 2726, 5452, 6815, 10904, 13630, 27260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54500 and 54520. The biggest common factor number is the GCF number.
So the greatest common factor 54500 and 54520 is 20.

Also check out the Least Common Multiple of 54500 and 54520