What is the Greatest Common Factor of 81795 and 81802?

Greatest common factor (GCF) of 81795 and 81802 is 7.

GCF(81795,81802) = 7

We will now calculate the prime factors of 81795 and 81802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81795 and 81802.

How to find the GCF of 81795 and 81802?

We will first find the prime factorization of 81795 and 81802. After we will calculate the factors of 81795 and 81802 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 81802

Prime factors of 81802 are 2, 7, 5843. Prime factorization of 81802 in exponential form is:

81802 = 2¹ × 7¹ × 5843¹

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 81802

List of positive integer factors of 81802 that divides 81795 without a remainder.

1, 2, 7, 14, 5843, 11686, 40901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81795 and 81802. The biggest common factor number is the GCF number.
So the greatest common factor 81795 and 81802 is 7.

Also check out the Least Common Multiple of 81795 and 81802