What is the Greatest Common Factor of 86784 and 86790?

Greatest common factor (GCF) of 86784 and 86790 is 6.

GCF(86784,86790) = 6

We will now calculate the prime factors of 86784 and 86790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86784 and 86790.

How to find the GCF of 86784 and 86790?

We will first find the prime factorization of 86784 and 86790. After we will calculate the factors of 86784 and 86790 and find the biggest common factor number .

Step-1: Prime Factorization of 86784

Prime factors of 86784 are 2, 3, 113. Prime factorization of 86784 in exponential form is:

86784 = 2⁸ × 3¹ × 113¹

Step-2: Prime Factorization of 86790

Prime factors of 86790 are 2, 3, 5, 11, 263. Prime factorization of 86790 in exponential form is:

86790 = 2¹ × 3¹ × 5¹ × 11¹ × 263¹

Step-3: Factors of 86784

List of positive integer factors of 86784 that divides 86784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 113, 128, 192, 226, 256, 339, 384, 452, 678, 768, 904, 1356, 1808, 2712, 3616, 5424, 7232, 10848, 14464, 21696, 28928, 43392

Step-4: Factors of 86790

List of positive integer factors of 86790 that divides 86784 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 263, 330, 526, 789, 1315, 1578, 2630, 2893, 3945, 5786, 7890, 8679, 14465, 17358, 28930, 43395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86784 and 86790. The biggest common factor number is the GCF number.
So the greatest common factor 86784 and 86790 is 6.

Also check out the Least Common Multiple of 86784 and 86790