What is the Greatest Common Factor of 48588 and 48600?

Greatest common factor (GCF) of 48588 and 48600 is 12.

GCF(48588,48600) = 12

We will now calculate the prime factors of 48588 and 48600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48588 and 48600.

How to find the GCF of 48588 and 48600?

We will first find the prime factorization of 48588 and 48600. After we will calculate the factors of 48588 and 48600 and find the biggest common factor number .

Step-1: Prime Factorization of 48588

Prime factors of 48588 are 2, 3, 4049. Prime factorization of 48588 in exponential form is:

48588 = 2² × 3¹ × 4049¹

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 48588

List of positive integer factors of 48588 that divides 48588 without a remainder.

1, 2, 3, 4, 6, 12, 4049, 8098, 12147, 16196, 24294

Step-4: Factors of 48600

List of positive integer factors of 48600 that divides 48588 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 48588 and 48600. The biggest common factor number is the GCF number.
So the greatest common factor 48588 and 48600 is 12.

Also check out the Least Common Multiple of 48588 and 48600