What is the Greatest Common Factor of 48600 and 48610?

Greatest common factor (GCF) of 48600 and 48610 is 10.

GCF(48600,48610) = 10

We will now calculate the prime factors of 48600 and 48610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48600 and 48610.

How to find the GCF of 48600 and 48610?

We will first find the prime factorization of 48600 and 48610. After we will calculate the factors of 48600 and 48610 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48610

Prime factors of 48610 are 2, 5, 4861. Prime factorization of 48610 in exponential form is:

48610 = 2¹ × 5¹ × 4861¹

Step-3: Factors of 48600

List of positive integer factors of 48600 that divides 48600 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

Step-4: Factors of 48610

List of positive integer factors of 48610 that divides 48600 without a remainder.

1, 2, 5, 10, 4861, 9722, 24305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48600 and 48610. The biggest common factor number is the GCF number.
So the greatest common factor 48600 and 48610 is 10.

Also check out the Least Common Multiple of 48600 and 48610