What is the Greatest Common Factor of 86481 and 86493?

Greatest common factor (GCF) of 86481 and 86493 is 3.

GCF(86481,86493) = 3

We will now calculate the prime factors of 86481 and 86493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86481 and 86493.

How to find the GCF of 86481 and 86493?

We will first find the prime factorization of 86481 and 86493. After we will calculate the factors of 86481 and 86493 and find the biggest common factor number .

Step-1: Prime Factorization of 86481

Prime factors of 86481 are 3, 3203. Prime factorization of 86481 in exponential form is:

86481 = 3³ × 3203¹

Step-2: Prime Factorization of 86493

Prime factors of 86493 are 3, 11, 2621. Prime factorization of 86493 in exponential form is:

86493 = 3¹ × 11¹ × 2621¹

Step-3: Factors of 86481

List of positive integer factors of 86481 that divides 86481 without a remainder.

1, 3, 9, 27, 3203, 9609, 28827

Step-4: Factors of 86493

List of positive integer factors of 86493 that divides 86481 without a remainder.

1, 3, 11, 33, 2621, 7863, 28831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86481 and 86493. The biggest common factor number is the GCF number.
So the greatest common factor 86481 and 86493 is 3.

Also check out the Least Common Multiple of 86481 and 86493