What is the Greatest Common Factor of 48800 and 48809?

Greatest common factor (GCF) of 48800 and 48809 is 1.

GCF(48800,48809) = 1

We will now calculate the prime factors of 48800 and 48809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48800 and 48809.

How to find the GCF of 48800 and 48809?

We will first find the prime factorization of 48800 and 48809. After we will calculate the factors of 48800 and 48809 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48809

Prime factors of 48809 are 48809. Prime factorization of 48809 in exponential form is:

48809 = 48809¹

Step-3: Factors of 48800

List of positive integer factors of 48800 that divides 48800 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

Step-4: Factors of 48809

List of positive integer factors of 48809 that divides 48800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48800 and 48809. The biggest common factor number is the GCF number.
So the greatest common factor 48800 and 48809 is 1.

Also check out the Least Common Multiple of 48800 and 48809