What is the Greatest Common Factor of 66816 and 66833?

Greatest common factor (GCF) of 66816 and 66833 is 1.

GCF(66816,66833) = 1

We will now calculate the prime factors of 66816 and 66833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66816 and 66833.

How to find the GCF of 66816 and 66833?

We will first find the prime factorization of 66816 and 66833. After we will calculate the factors of 66816 and 66833 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 66833

Prime factors of 66833 are 13, 53, 97. Prime factorization of 66833 in exponential form is:

66833 = 13¹ × 53¹ × 97¹

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 66833

List of positive integer factors of 66833 that divides 66816 without a remainder.

1, 13, 53, 97, 689, 1261, 5141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66816 and 66833. The biggest common factor number is the GCF number.
So the greatest common factor 66816 and 66833 is 1.

Also check out the Least Common Multiple of 66816 and 66833