What is the Greatest Common Factor of 48585 and 48600?

Greatest common factor (GCF) of 48585 and 48600 is 15.

GCF(48585,48600) = 15

We will now calculate the prime factors of 48585 and 48600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48585 and 48600.

How to find the GCF of 48585 and 48600?

We will first find the prime factorization of 48585 and 48600. After we will calculate the factors of 48585 and 48600 and find the biggest common factor number .

Step-1: Prime Factorization of 48585

Prime factors of 48585 are 3, 5, 41, 79. Prime factorization of 48585 in exponential form is:

48585 = 3¹ × 5¹ × 41¹ × 79¹

Step-2: Prime Factorization of 48600

Prime factors of 48600 are 2, 3, 5. Prime factorization of 48600 in exponential form is:

48600 = 2³ × 3⁵ × 5²

Step-3: Factors of 48585

List of positive integer factors of 48585 that divides 48585 without a remainder.

1, 3, 5, 15, 41, 79, 123, 205, 237, 395, 615, 1185, 3239, 9717, 16195

Step-4: Factors of 48600

List of positive integer factors of 48600 that divides 48585 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 243, 270, 300, 324, 360, 405, 450, 486, 540, 600, 648, 675, 810, 900, 972, 1080, 1215, 1350, 1620, 1800, 1944, 2025, 2430, 2700, 3240, 4050, 4860, 5400, 6075, 8100, 9720, 12150, 16200, 24300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48585 and 48600. The biggest common factor number is the GCF number.
So the greatest common factor 48585 and 48600 is 15.

Also check out the Least Common Multiple of 48585 and 48600