What is the Greatest Common Factor of 81549 and 81562?

Greatest common factor (GCF) of 81549 and 81562 is 13.

GCF(81549,81562) = 13

We will now calculate the prime factors of 81549 and 81562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81549 and 81562.

How to find the GCF of 81549 and 81562?

We will first find the prime factorization of 81549 and 81562. After we will calculate the factors of 81549 and 81562 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 81562

Prime factors of 81562 are 2, 13, 3137. Prime factorization of 81562 in exponential form is:

81562 = 2¹ × 13¹ × 3137¹

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 81562

List of positive integer factors of 81562 that divides 81549 without a remainder.

1, 2, 13, 26, 3137, 6274, 40781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81549 and 81562. The biggest common factor number is the GCF number.
So the greatest common factor 81549 and 81562 is 13.

Also check out the Least Common Multiple of 81549 and 81562