What is the Greatest Common Factor of 48800 and 48814?

Greatest common factor (GCF) of 48800 and 48814 is 2.

GCF(48800,48814) = 2

We will now calculate the prime factors of 48800 and 48814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48800 and 48814.

How to find the GCF of 48800 and 48814?

We will first find the prime factorization of 48800 and 48814. After we will calculate the factors of 48800 and 48814 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 48814

Prime factors of 48814 are 2, 24407. Prime factorization of 48814 in exponential form is:

48814 = 2¹ × 24407¹

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 48814

List of positive integer factors of 48814 that divides 48800 without a remainder.

1, 2, 24407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48800 and 48814. The biggest common factor number is the GCF number.
So the greatest common factor 48800 and 48814 is 2.

Also check out the Least Common Multiple of 48800 and 48814