What is the Greatest Common Factor of 81783 and 81796?

Greatest common factor (GCF) of 81783 and 81796 is 13.

GCF(81783,81796) = 13

We will now calculate the prime factors of 81783 and 81796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81783 and 81796.

How to find the GCF of 81783 and 81796?

We will first find the prime factorization of 81783 and 81796. After we will calculate the factors of 81783 and 81796 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 81796

Prime factors of 81796 are 2, 11, 13. Prime factorization of 81796 in exponential form is:

81796 = 2² × 11² × 13²

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 81796

List of positive integer factors of 81796 that divides 81783 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 169, 242, 286, 338, 484, 572, 676, 1573, 1859, 3146, 3718, 6292, 7436, 20449, 40898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81783 and 81796. The biggest common factor number is the GCF number.
So the greatest common factor 81783 and 81796 is 13.

Also check out the Least Common Multiple of 81783 and 81796