What is the Greatest Common Factor of 81810 and 81820?

Greatest common factor (GCF) of 81810 and 81820 is 10.

GCF(81810,81820) = 10

We will now calculate the prime factors of 81810 and 81820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81810 and 81820.

How to find the GCF of 81810 and 81820?

We will first find the prime factorization of 81810 and 81820. After we will calculate the factors of 81810 and 81820 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81820

Prime factors of 81820 are 2, 5, 4091. Prime factorization of 81820 in exponential form is:

81820 = 2² × 5¹ × 4091¹

Step-3: Factors of 81810

List of positive integer factors of 81810 that divides 81810 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

Step-4: Factors of 81820

List of positive integer factors of 81820 that divides 81810 without a remainder.

1, 2, 4, 5, 10, 20, 4091, 8182, 16364, 20455, 40910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81810 and 81820. The biggest common factor number is the GCF number.
So the greatest common factor 81810 and 81820 is 10.

Also check out the Least Common Multiple of 81810 and 81820