What is the Greatest Common Factor of 55485 and 55500?

Greatest common factor (GCF) of 55485 and 55500 is 15.

GCF(55485,55500) = 15

We will now calculate the prime factors of 55485 and 55500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55485 and 55500.

How to find the GCF of 55485 and 55500?

We will first find the prime factorization of 55485 and 55500. After we will calculate the factors of 55485 and 55500 and find the biggest common factor number .

Step-1: Prime Factorization of 55485

Prime factors of 55485 are 3, 5, 137. Prime factorization of 55485 in exponential form is:

55485 = 3⁴ × 5¹ × 137¹

Step-2: Prime Factorization of 55500

Prime factors of 55500 are 2, 3, 5, 37. Prime factorization of 55500 in exponential form is:

55500 = 2² × 3¹ × 5³ × 37¹

Step-3: Factors of 55485

List of positive integer factors of 55485 that divides 55485 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 137, 405, 411, 685, 1233, 2055, 3699, 6165, 11097, 18495

Step-4: Factors of 55500

List of positive integer factors of 55500 that divides 55485 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 37, 50, 60, 74, 75, 100, 111, 125, 148, 150, 185, 222, 250, 300, 370, 375, 444, 500, 555, 740, 750, 925, 1110, 1500, 1850, 2220, 2775, 3700, 4625, 5550, 9250, 11100, 13875, 18500, 27750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55485 and 55500. The biggest common factor number is the GCF number.
So the greatest common factor 55485 and 55500 is 15.

Also check out the Least Common Multiple of 55485 and 55500