What is the Greatest Common Factor of 66816 and 66822?

Greatest common factor (GCF) of 66816 and 66822 is 6.

GCF(66816,66822) = 6

We will now calculate the prime factors of 66816 and 66822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66816 and 66822.

How to find the GCF of 66816 and 66822?

We will first find the prime factorization of 66816 and 66822. After we will calculate the factors of 66816 and 66822 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66822

Prime factors of 66822 are 2, 3, 7, 37, 43. Prime factorization of 66822 in exponential form is:

66822 = 2¹ × 3¹ × 7¹ × 37¹ × 43¹

Step-3: Factors of 66816

List of positive integer factors of 66816 that divides 66816 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

Step-4: Factors of 66822

List of positive integer factors of 66822 that divides 66816 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 43, 74, 86, 111, 129, 222, 258, 259, 301, 518, 602, 777, 903, 1554, 1591, 1806, 3182, 4773, 9546, 11137, 22274, 33411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66816 and 66822. The biggest common factor number is the GCF number.
So the greatest common factor 66816 and 66822 is 6.

Also check out the Least Common Multiple of 66816 and 66822