What is the Greatest Common Factor of 48800 and 48816?

Greatest common factor (GCF) of 48800 and 48816 is 16.

GCF(48800,48816) = 16

We will now calculate the prime factors of 48800 and 48816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48800 and 48816.

How to find the GCF of 48800 and 48816?

We will first find the prime factorization of 48800 and 48816. After we will calculate the factors of 48800 and 48816 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 48816

Prime factors of 48816 are 2, 3, 113. Prime factorization of 48816 in exponential form is:

48816 = 2⁴ × 3³ × 113¹

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 48816

List of positive integer factors of 48816 that divides 48800 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 113, 144, 216, 226, 339, 432, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3051, 4068, 5424, 6102, 8136, 12204, 16272, 24408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48800 and 48816. The biggest common factor number is the GCF number.
So the greatest common factor 48800 and 48816 is 16.

Also check out the Least Common Multiple of 48800 and 48816