What is the Greatest Common Factor of 81800 and 81815?

Greatest common factor (GCF) of 81800 and 81815 is 5.

GCF(81800,81815) = 5

We will now calculate the prime factors of 81800 and 81815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81800 and 81815.

How to find the GCF of 81800 and 81815?

We will first find the prime factorization of 81800 and 81815. After we will calculate the factors of 81800 and 81815 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 81815

Prime factors of 81815 are 5, 16363. Prime factorization of 81815 in exponential form is:

81815 = 5¹ × 16363¹

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 81815

List of positive integer factors of 81815 that divides 81800 without a remainder.

1, 5, 16363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81800 and 81815. The biggest common factor number is the GCF number.
So the greatest common factor 81800 and 81815 is 5.

Also check out the Least Common Multiple of 81800 and 81815