What is the Greatest Common Factor of 81783 and 81789?

Greatest common factor (GCF) of 81783 and 81789 is 3.

GCF(81783,81789) = 3

We will now calculate the prime factors of 81783 and 81789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81783 and 81789.

How to find the GCF of 81783 and 81789?

We will first find the prime factorization of 81783 and 81789. After we will calculate the factors of 81783 and 81789 and find the biggest common factor number .

Step-1: Prime Factorization of 81783

Prime factors of 81783 are 3, 13, 233. Prime factorization of 81783 in exponential form is:

81783 = 3³ × 13¹ × 233¹

Step-2: Prime Factorization of 81789

Prime factors of 81789 are 3, 137, 199. Prime factorization of 81789 in exponential form is:

81789 = 3¹ × 137¹ × 199¹

Step-3: Factors of 81783

List of positive integer factors of 81783 that divides 81783 without a remainder.

1, 3, 9, 13, 27, 39, 117, 233, 351, 699, 2097, 3029, 6291, 9087, 27261

Step-4: Factors of 81789

List of positive integer factors of 81789 that divides 81783 without a remainder.

1, 3, 137, 199, 411, 597, 27263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81783 and 81789. The biggest common factor number is the GCF number.
So the greatest common factor 81783 and 81789 is 3.

Also check out the Least Common Multiple of 81783 and 81789