What is the Greatest Common Factor of 66800 and 66816?

Greatest common factor (GCF) of 66800 and 66816 is 16.

GCF(66800,66816) = 16

We will now calculate the prime factors of 66800 and 66816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66800 and 66816.

How to find the GCF of 66800 and 66816?

We will first find the prime factorization of 66800 and 66816. After we will calculate the factors of 66800 and 66816 and find the biggest common factor number .

Step-1: Prime Factorization of 66800

Prime factors of 66800 are 2, 5, 167. Prime factorization of 66800 in exponential form is:

66800 = 2⁴ × 5² × 167¹

Step-2: Prime Factorization of 66816

Prime factors of 66816 are 2, 3, 29. Prime factorization of 66816 in exponential form is:

66816 = 2⁸ × 3² × 29¹

Step-3: Factors of 66800

List of positive integer factors of 66800 that divides 66800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 167, 200, 334, 400, 668, 835, 1336, 1670, 2672, 3340, 4175, 6680, 8350, 13360, 16700, 33400

Step-4: Factors of 66816

List of positive integer factors of 66816 that divides 66800 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 64, 72, 87, 96, 116, 128, 144, 174, 192, 232, 256, 261, 288, 348, 384, 464, 522, 576, 696, 768, 928, 1044, 1152, 1392, 1856, 2088, 2304, 2784, 3712, 4176, 5568, 7424, 8352, 11136, 16704, 22272, 33408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66800 and 66816. The biggest common factor number is the GCF number.
So the greatest common factor 66800 and 66816 is 16.

Also check out the Least Common Multiple of 66800 and 66816