What is the Greatest Common Factor of 81796 and 81809?

Greatest common factor (GCF) of 81796 and 81809 is 13.

GCF(81796,81809) = 13

We will now calculate the prime factors of 81796 and 81809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81796 and 81809.

How to find the GCF of 81796 and 81809?

We will first find the prime factorization of 81796 and 81809. After we will calculate the factors of 81796 and 81809 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81809

Prime factors of 81809 are 7, 13, 29, 31. Prime factorization of 81809 in exponential form is:

81809 = 7¹ × 13¹ × 29¹ × 31¹

Step-3: Factors of 81796

List of positive integer factors of 81796 that divides 81796 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

Step-4: Factors of 81809

List of positive integer factors of 81809 that divides 81796 without a remainder.

1, 7, 13, 29, 31, 91, 203, 217, 377, 403, 899, 2639, 2821, 6293, 11687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81796 and 81809. The biggest common factor number is the GCF number.
So the greatest common factor 81796 and 81809 is 13.

Also check out the Least Common Multiple of 81796 and 81809