What is the Greatest Common Factor of 18800 and 18816?

Greatest common factor (GCF) of 18800 and 18816 is 16.

GCF(18800,18816) = 16

We will now calculate the prime factors of 18800 and 18816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18800 and 18816.

How to find the GCF of 18800 and 18816?

We will first find the prime factorization of 18800 and 18816. After we will calculate the factors of 18800 and 18816 and find the biggest common factor number .

Step-1: Prime Factorization of 18800

Prime factors of 18800 are 2, 5, 47. Prime factorization of 18800 in exponential form is:

18800 = 2⁴ × 5² × 47¹

Step-2: Prime Factorization of 18816

Prime factors of 18816 are 2, 3, 7. Prime factorization of 18816 in exponential form is:

18816 = 2⁷ × 3¹ × 7²

Step-3: Factors of 18800

List of positive integer factors of 18800 that divides 18800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 47, 50, 80, 94, 100, 188, 200, 235, 376, 400, 470, 752, 940, 1175, 1880, 2350, 3760, 4700, 9400

Step-4: Factors of 18816

List of positive integer factors of 18816 that divides 18800 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 128, 147, 168, 192, 196, 224, 294, 336, 384, 392, 448, 588, 672, 784, 896, 1176, 1344, 1568, 2352, 2688, 3136, 4704, 6272, 9408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18800 and 18816. The biggest common factor number is the GCF number.
So the greatest common factor 18800 and 18816 is 16.

Also check out the Least Common Multiple of 18800 and 18816