What is the Greatest Common Factor of 81894 and 81909?

Greatest common factor (GCF) of 81894 and 81909 is 3.

GCF(81894,81909) = 3

We will now calculate the prime factors of 81894 and 81909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81894 and 81909.

How to find the GCF of 81894 and 81909?

We will first find the prime factorization of 81894 and 81909. After we will calculate the factors of 81894 and 81909 and find the biggest common factor number .

Step-1: Prime Factorization of 81894

Prime factors of 81894 are 2, 3, 13649. Prime factorization of 81894 in exponential form is:

81894 = 2¹ × 3¹ × 13649¹

Step-2: Prime Factorization of 81909

Prime factors of 81909 are 3, 19, 479. Prime factorization of 81909 in exponential form is:

81909 = 3² × 19¹ × 479¹

Step-3: Factors of 81894

List of positive integer factors of 81894 that divides 81894 without a remainder.

1, 2, 3, 6, 13649, 27298, 40947

Step-4: Factors of 81909

List of positive integer factors of 81909 that divides 81894 without a remainder.

1, 3, 9, 19, 57, 171, 479, 1437, 4311, 9101, 27303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81894 and 81909. The biggest common factor number is the GCF number.
So the greatest common factor 81894 and 81909 is 3.

Also check out the Least Common Multiple of 81894 and 81909