What is the Greatest Common Factor of 81796 and 81814?

Greatest common factor (GCF) of 81796 and 81814 is 2.

GCF(81796,81814) = 2

We will now calculate the prime factors of 81796 and 81814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81796 and 81814.

How to find the GCF of 81796 and 81814?

We will first find the prime factorization of 81796 and 81814. After we will calculate the factors of 81796 and 81814 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 81814

Prime factors of 81814 are 2, 19, 2153. Prime factorization of 81814 in exponential form is:

81814 = 2¹ × 19¹ × 2153¹

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 81814

List of positive integer factors of 81814 that divides 81796 without a remainder.

1, 2, 19, 38, 2153, 4306, 40907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81796 and 81814. The biggest common factor number is the GCF number.
So the greatest common factor 81796 and 81814 is 2.

Also check out the Least Common Multiple of 81796 and 81814