What is the Greatest Common Factor of 48789 and 48800?

Greatest common factor (GCF) of 48789 and 48800 is 1.

GCF(48789,48800) = 1

We will now calculate the prime factors of 48789 and 48800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48789 and 48800.

How to find the GCF of 48789 and 48800?

We will first find the prime factorization of 48789 and 48800. After we will calculate the factors of 48789 and 48800 and find the biggest common factor number .

Step-1: Prime Factorization of 48789

Prime factors of 48789 are 3, 13, 139. Prime factorization of 48789 in exponential form is:

48789 = 3³ × 13¹ × 139¹

Step-2: Prime Factorization of 48800

Prime factors of 48800 are 2, 5, 61. Prime factorization of 48800 in exponential form is:

48800 = 2⁵ × 5² × 61¹

Step-3: Factors of 48789

List of positive integer factors of 48789 that divides 48789 without a remainder.

1, 3, 9, 13, 27, 39, 117, 139, 351, 417, 1251, 1807, 3753, 5421, 16263

Step-4: Factors of 48800

List of positive integer factors of 48800 that divides 48789 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 61, 80, 100, 122, 160, 200, 244, 305, 400, 488, 610, 800, 976, 1220, 1525, 1952, 2440, 3050, 4880, 6100, 9760, 12200, 24400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48789 and 48800. The biggest common factor number is the GCF number.
So the greatest common factor 48789 and 48800 is 1.

Also check out the Least Common Multiple of 48789 and 48800