What is the Greatest Common Factor of 81780 and 81795?

Greatest common factor (GCF) of 81780 and 81795 is 15.

GCF(81780,81795) = 15

We will now calculate the prime factors of 81780 and 81795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81780 and 81795.

How to find the GCF of 81780 and 81795?

We will first find the prime factorization of 81780 and 81795. After we will calculate the factors of 81780 and 81795 and find the biggest common factor number .

Step-1: Prime Factorization of 81780

Prime factors of 81780 are 2, 3, 5, 29, 47. Prime factorization of 81780 in exponential form is:

81780 = 2² × 3¹ × 5¹ × 29¹ × 47¹

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 81780

List of positive integer factors of 81780 that divides 81780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 47, 58, 60, 87, 94, 116, 141, 145, 174, 188, 235, 282, 290, 348, 435, 470, 564, 580, 705, 870, 940, 1363, 1410, 1740, 2726, 2820, 4089, 5452, 6815, 8178, 13630, 16356, 20445, 27260, 40890

Step-4: Factors of 81795

List of positive integer factors of 81795 that divides 81780 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 81780 and 81795. The biggest common factor number is the GCF number.
So the greatest common factor 81780 and 81795 is 15.

Also check out the Least Common Multiple of 81780 and 81795