What is the Greatest Common Factor of 80784 and 80795?

Greatest common factor (GCF) of 80784 and 80795 is 11.

GCF(80784,80795) = 11

We will now calculate the prime factors of 80784 and 80795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80784 and 80795.

How to find the GCF of 80784 and 80795?

We will first find the prime factorization of 80784 and 80795. After we will calculate the factors of 80784 and 80795 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 80795

Prime factors of 80795 are 5, 11, 13, 113. Prime factorization of 80795 in exponential form is:

80795 = 5¹ × 11¹ × 13¹ × 113¹

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 80795

List of positive integer factors of 80795 that divides 80784 without a remainder.

1, 5, 11, 13, 55, 65, 113, 143, 565, 715, 1243, 1469, 6215, 7345, 16159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80784 and 80795. The biggest common factor number is the GCF number.
So the greatest common factor 80784 and 80795 is 11.

Also check out the Least Common Multiple of 80784 and 80795