What is the Greatest Common Factor of 80784 and 80800?

Greatest common factor (GCF) of 80784 and 80800 is 16.

GCF(80784,80800) = 16

We will now calculate the prime factors of 80784 and 80800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80784 and 80800.

How to find the GCF of 80784 and 80800?

We will first find the prime factorization of 80784 and 80800. After we will calculate the factors of 80784 and 80800 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80800

Prime factors of 80800 are 2, 5, 101. Prime factorization of 80800 in exponential form is:

80800 = 2⁵ × 5² × 101¹

Step-3: Factors of 80784

List of positive integer factors of 80784 that divides 80784 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

Step-4: Factors of 80800

List of positive integer factors of 80800 that divides 80784 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 101, 160, 200, 202, 400, 404, 505, 800, 808, 1010, 1616, 2020, 2525, 3232, 4040, 5050, 8080, 10100, 16160, 20200, 40400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80784 and 80800. The biggest common factor number is the GCF number.
So the greatest common factor 80784 and 80800 is 16.

Also check out the Least Common Multiple of 80784 and 80800