What is the Greatest Common Factor of 81800 and 81809?

Greatest common factor (GCF) of 81800 and 81809 is 1.

GCF(81800,81809) = 1

We will now calculate the prime factors of 81800 and 81809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81800 and 81809.

How to find the GCF of 81800 and 81809?

We will first find the prime factorization of 81800 and 81809. After we will calculate the factors of 81800 and 81809 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 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 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 81809

List of positive integer factors of 81809 that divides 81800 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 81800 and 81809. The biggest common factor number is the GCF number.
So the greatest common factor 81800 and 81809 is 1.

Also check out the Least Common Multiple of 81800 and 81809