What is the Greatest Common Factor of 81549 and 81566?

Greatest common factor (GCF) of 81549 and 81566 is 17.

GCF(81549,81566) = 17

We will now calculate the prime factors of 81549 and 81566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81549 and 81566.

How to find the GCF of 81549 and 81566?

We will first find the prime factorization of 81549 and 81566. After we will calculate the factors of 81549 and 81566 and find the biggest common factor number .

Step-1: Prime Factorization of 81549

Prime factors of 81549 are 3, 13, 17, 41. Prime factorization of 81549 in exponential form is:

81549 = 3² × 13¹ × 17¹ × 41¹

Step-2: Prime Factorization of 81566

Prime factors of 81566 are 2, 17, 2399. Prime factorization of 81566 in exponential form is:

81566 = 2¹ × 17¹ × 2399¹

Step-3: Factors of 81549

List of positive integer factors of 81549 that divides 81549 without a remainder.

1, 3, 9, 13, 17, 39, 41, 51, 117, 123, 153, 221, 369, 533, 663, 697, 1599, 1989, 2091, 4797, 6273, 9061, 27183

Step-4: Factors of 81566

List of positive integer factors of 81566 that divides 81549 without a remainder.

1, 2, 17, 34, 2399, 4798, 40783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81549 and 81566. The biggest common factor number is the GCF number.
So the greatest common factor 81549 and 81566 is 17.

Also check out the Least Common Multiple of 81549 and 81566