What is the Greatest Common Factor of 81800 and 81810?

Greatest common factor (GCF) of 81800 and 81810 is 10.

GCF(81800,81810) = 10

We will now calculate the prime factors of 81800 and 81810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81800 and 81810.

How to find the GCF of 81800 and 81810?

We will first find the prime factorization of 81800 and 81810. After we will calculate the factors of 81800 and 81810 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 81810

Prime factors of 81810 are 2, 3, 5, 101. Prime factorization of 81810 in exponential form is:

81810 = 2¹ × 3⁴ × 5¹ × 101¹

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 81810

List of positive integer factors of 81810 that divides 81800 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 101, 135, 162, 202, 270, 303, 405, 505, 606, 810, 909, 1010, 1515, 1818, 2727, 3030, 4545, 5454, 8181, 9090, 13635, 16362, 27270, 40905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81800 and 81810. The biggest common factor number is the GCF number.
So the greatest common factor 81800 and 81810 is 10.

Also check out the Least Common Multiple of 81800 and 81810