What is the Greatest Common Factor of 81795 and 81804?

Greatest common factor (GCF) of 81795 and 81804 is 3.

GCF(81795,81804) = 3

We will now calculate the prime factors of 81795 and 81804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81795 and 81804.

How to find the GCF of 81795 and 81804?

We will first find the prime factorization of 81795 and 81804. After we will calculate the factors of 81795 and 81804 and find the biggest common factor number .

Step-1: Prime Factorization of 81795

Prime factors of 81795 are 3, 5, 7, 19, 41. Prime factorization of 81795 in exponential form is:

81795 = 3¹ × 5¹ × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 81804

Prime factors of 81804 are 2, 3, 17, 401. Prime factorization of 81804 in exponential form is:

81804 = 2² × 3¹ × 17¹ × 401¹

Step-3: Factors of 81795

List of positive integer factors of 81795 that divides 81795 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 41, 57, 95, 105, 123, 133, 205, 285, 287, 399, 615, 665, 779, 861, 1435, 1995, 2337, 3895, 4305, 5453, 11685, 16359, 27265

Step-4: Factors of 81804

List of positive integer factors of 81804 that divides 81795 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 401, 802, 1203, 1604, 2406, 4812, 6817, 13634, 20451, 27268, 40902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81795 and 81804. The biggest common factor number is the GCF number.
So the greatest common factor 81795 and 81804 is 3.

Also check out the Least Common Multiple of 81795 and 81804