What is the Greatest Common Factor of 81786 and 81795?

Greatest common factor (GCF) of 81786 and 81795 is 3.

GCF(81786,81795) = 3

We will now calculate the prime factors of 81786 and 81795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81786 and 81795.

How to find the GCF of 81786 and 81795?

We will first find the prime factorization of 81786 and 81795. After we will calculate the factors of 81786 and 81795 and find the biggest common factor number .

Step-1: Prime Factorization of 81786

Prime factors of 81786 are 2, 3, 43, 317. Prime factorization of 81786 in exponential form is:

81786 = 2¹ × 3¹ × 43¹ × 317¹

Step-2: 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-3: Factors of 81786

List of positive integer factors of 81786 that divides 81786 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 317, 634, 951, 1902, 13631, 27262, 40893

Step-4: Factors of 81795

List of positive integer factors of 81795 that divides 81786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81786 and 81795. The biggest common factor number is the GCF number.
So the greatest common factor 81786 and 81795 is 3.

Also check out the Least Common Multiple of 81786 and 81795