What is the Greatest Common Factor of 66816 and 66834?

Greatest common factor (GCF) of 66816 and 66834 is 18.

GCF(66816,66834) = 18

We will now calculate the prime factors of 66816 and 66834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66816 and 66834.

How to find the GCF of 66816 and 66834?

We will first find the prime factorization of 66816 and 66834. After we will calculate the factors of 66816 and 66834 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 66834

Prime factors of 66834 are 2, 3, 47, 79. Prime factorization of 66834 in exponential form is:

66834 = 2¹ × 3² × 47¹ × 79¹

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 66834

List of positive integer factors of 66834 that divides 66816 without a remainder.

1, 2, 3, 6, 9, 18, 47, 79, 94, 141, 158, 237, 282, 423, 474, 711, 846, 1422, 3713, 7426, 11139, 22278, 33417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66816 and 66834. The biggest common factor number is the GCF number.
So the greatest common factor 66816 and 66834 is 18.

Also check out the Least Common Multiple of 66816 and 66834