What is the Greatest Common Factor of 80784 and 80804?

Greatest common factor (GCF) of 80784 and 80804 is 4.

GCF(80784,80804) = 4

We will now calculate the prime factors of 80784 and 80804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80784 and 80804.

How to find the GCF of 80784 and 80804?

We will first find the prime factorization of 80784 and 80804. After we will calculate the factors of 80784 and 80804 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 80804

Prime factors of 80804 are 2, 20201. Prime factorization of 80804 in exponential form is:

80804 = 2² × 20201¹

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 80804

List of positive integer factors of 80804 that divides 80784 without a remainder.

1, 2, 4, 20201, 40402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80784 and 80804. The biggest common factor number is the GCF number.
So the greatest common factor 80784 and 80804 is 4.

Also check out the Least Common Multiple of 80784 and 80804