What is the Greatest Common Factor of 81819 and 81825?

Greatest common factor (GCF) of 81819 and 81825 is 3.

GCF(81819,81825) = 3

We will now calculate the prime factors of 81819 and 81825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81819 and 81825.

How to find the GCF of 81819 and 81825?

We will first find the prime factorization of 81819 and 81825. After we will calculate the factors of 81819 and 81825 and find the biggest common factor number .

Step-1: Prime Factorization of 81819

Prime factors of 81819 are 3, 9091. Prime factorization of 81819 in exponential form is:

81819 = 3² × 9091¹

Step-2: Prime Factorization of 81825

Prime factors of 81825 are 3, 5, 1091. Prime factorization of 81825 in exponential form is:

81825 = 3¹ × 5² × 1091¹

Step-3: Factors of 81819

List of positive integer factors of 81819 that divides 81819 without a remainder.

1, 3, 9, 9091, 27273

Step-4: Factors of 81825

List of positive integer factors of 81825 that divides 81819 without a remainder.

1, 3, 5, 15, 25, 75, 1091, 3273, 5455, 16365, 27275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81819 and 81825. The biggest common factor number is the GCF number.
So the greatest common factor 81819 and 81825 is 3.

Also check out the Least Common Multiple of 81819 and 81825