What is the Greatest Common Factor of 81800 and 81818?

Greatest common factor (GCF) of 81800 and 81818 is 2.

GCF(81800,81818) = 2

We will now calculate the prime factors of 81800 and 81818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81800 and 81818.

How to find the GCF of 81800 and 81818?

We will first find the prime factorization of 81800 and 81818. After we will calculate the factors of 81800 and 81818 and find the biggest common factor number .

Step-1: Prime Factorization of 81800

Prime factors of 81800 are 2, 5, 409. Prime factorization of 81800 in exponential form is:

81800 = 2³ × 5² × 409¹

Step-2: 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-3: Factors of 81800

List of positive integer factors of 81800 that divides 81800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 409, 818, 1636, 2045, 3272, 4090, 8180, 10225, 16360, 20450, 40900

Step-4: Factors of 81818

List of positive integer factors of 81818 that divides 81800 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81800 and 81818. The biggest common factor number is the GCF number.
So the greatest common factor 81800 and 81818 is 2.

Also check out the Least Common Multiple of 81800 and 81818