What is the Greatest Common Factor of 81411 and 81423?

Greatest common factor (GCF) of 81411 and 81423 is 3.

GCF(81411,81423) = 3

We will now calculate the prime factors of 81411 and 81423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81411 and 81423.

How to find the GCF of 81411 and 81423?

We will first find the prime factorization of 81411 and 81423. After we will calculate the factors of 81411 and 81423 and find the biggest common factor number .

Step-1: Prime Factorization of 81411

Prime factors of 81411 are 3, 11, 2467. Prime factorization of 81411 in exponential form is:

81411 = 3¹ × 11¹ × 2467¹

Step-2: Prime Factorization of 81423

Prime factors of 81423 are 3, 83, 109. Prime factorization of 81423 in exponential form is:

81423 = 3² × 83¹ × 109¹

Step-3: Factors of 81411

List of positive integer factors of 81411 that divides 81411 without a remainder.

1, 3, 11, 33, 2467, 7401, 27137

Step-4: Factors of 81423

List of positive integer factors of 81423 that divides 81411 without a remainder.

1, 3, 9, 83, 109, 249, 327, 747, 981, 9047, 27141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81411 and 81423. The biggest common factor number is the GCF number.
So the greatest common factor 81411 and 81423 is 3.

Also check out the Least Common Multiple of 81411 and 81423