What is the Greatest Common Factor of 48784 and 48800?

Greatest common factor (GCF) of 48784 and 48800 is 16.

GCF(48784,48800) = 16

We will now calculate the prime factors of 48784 and 48800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48784 and 48800.

How to find the GCF of 48784 and 48800?

We will first find the prime factorization of 48784 and 48800. After we will calculate the factors of 48784 and 48800 and find the biggest common factor number .

Step-1: Prime Factorization of 48784

Prime factors of 48784 are 2, 3049. Prime factorization of 48784 in exponential form is:

48784 = 2⁴ × 3049¹

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 48784

List of positive integer factors of 48784 that divides 48784 without a remainder.

1, 2, 4, 8, 16, 3049, 6098, 12196, 24392

Step-4: Factors of 48800

List of positive integer factors of 48800 that divides 48784 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 48784 and 48800. The biggest common factor number is the GCF number.
So the greatest common factor 48784 and 48800 is 16.

Also check out the Least Common Multiple of 48784 and 48800