What is the Greatest Common Factor of 48600 and 48614?

Greatest common factor (GCF) of 48600 and 48614 is 2.

GCF(48600,48614) = 2

We will now calculate the prime factors of 48600 and 48614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48600 and 48614.

How to find the GCF of 48600 and 48614?

We will first find the prime factorization of 48600 and 48614. After we will calculate the factors of 48600 and 48614 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 48614

Prime factors of 48614 are 2, 109, 223. Prime factorization of 48614 in exponential form is:

48614 = 2¹ × 109¹ × 223¹

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 48614

List of positive integer factors of 48614 that divides 48600 without a remainder.

1, 2, 109, 218, 223, 446, 24307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48600 and 48614. The biggest common factor number is the GCF number.
So the greatest common factor 48600 and 48614 is 2.

Also check out the Least Common Multiple of 48600 and 48614