What is the Greatest Common Factor of 81818 and 81829?

Greatest common factor (GCF) of 81818 and 81829 is 11.

GCF(81818,81829) = 11

We will now calculate the prime factors of 81818 and 81829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81818 and 81829.

How to find the GCF of 81818 and 81829?

We will first find the prime factorization of 81818 and 81829. After we will calculate the factors of 81818 and 81829 and find the biggest common factor number .

Step-1: Prime Factorization of 81818

Prime factors of 81818 are 2, 11, 3719. Prime factorization of 81818 in exponential form is:

81818 = 2¹ × 11¹ × 3719¹

Step-2: Prime Factorization of 81829

Prime factors of 81829 are 11, 43, 173. Prime factorization of 81829 in exponential form is:

81829 = 11¹ × 43¹ × 173¹

Step-3: Factors of 81818

List of positive integer factors of 81818 that divides 81818 without a remainder.

1, 2, 11, 22, 3719, 7438, 40909

Step-4: Factors of 81829

List of positive integer factors of 81829 that divides 81818 without a remainder.

1, 11, 43, 173, 473, 1903, 7439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81818 and 81829. The biggest common factor number is the GCF number.
So the greatest common factor 81818 and 81829 is 11.

Also check out the Least Common Multiple of 81818 and 81829