What is the Greatest Common Factor of 80769 and 80784?

Greatest common factor (GCF) of 80769 and 80784 is 3.

GCF(80769,80784) = 3

We will now calculate the prime factors of 80769 and 80784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80769 and 80784.

How to find the GCF of 80769 and 80784?

We will first find the prime factorization of 80769 and 80784. After we will calculate the factors of 80769 and 80784 and find the biggest common factor number .

Step-1: Prime Factorization of 80769

Prime factors of 80769 are 3, 13, 19, 109. Prime factorization of 80769 in exponential form is:

80769 = 3¹ × 13¹ × 19¹ × 109¹

Step-2: Prime Factorization of 80784

Prime factors of 80784 are 2, 3, 11, 17. Prime factorization of 80784 in exponential form is:

80784 = 2⁴ × 3³ × 11¹ × 17¹

Step-3: Factors of 80769

List of positive integer factors of 80769 that divides 80769 without a remainder.

1, 3, 13, 19, 39, 57, 109, 247, 327, 741, 1417, 2071, 4251, 6213, 26923

Step-4: Factors of 80784

List of positive integer factors of 80784 that divides 80769 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 17, 18, 22, 24, 27, 33, 34, 36, 44, 48, 51, 54, 66, 68, 72, 88, 99, 102, 108, 132, 136, 144, 153, 176, 187, 198, 204, 216, 264, 272, 297, 306, 374, 396, 408, 432, 459, 528, 561, 594, 612, 748, 792, 816, 918, 1122, 1188, 1224, 1496, 1584, 1683, 1836, 2244, 2376, 2448, 2992, 3366, 3672, 4488, 4752, 5049, 6732, 7344, 8976, 10098, 13464, 20196, 26928, 40392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80769 and 80784. The biggest common factor number is the GCF number.
So the greatest common factor 80769 and 80784 is 3.

Also check out the Least Common Multiple of 80769 and 80784