What is the Greatest Common Factor of 81713 and 81720?

Greatest common factor (GCF) of 81713 and 81720 is 1.

GCF(81713,81720) = 1

We will now calculate the prime factors of 81713 and 81720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81713 and 81720.

How to find the GCF of 81713 and 81720?

We will first find the prime factorization of 81713 and 81720. After we will calculate the factors of 81713 and 81720 and find the biggest common factor number .

Step-1: Prime Factorization of 81713

Prime factors of 81713 are 41, 1993. Prime factorization of 81713 in exponential form is:

81713 = 41¹ × 1993¹

Step-2: Prime Factorization of 81720

Prime factors of 81720 are 2, 3, 5, 227. Prime factorization of 81720 in exponential form is:

81720 = 2³ × 3² × 5¹ × 227¹

Step-3: Factors of 81713

List of positive integer factors of 81713 that divides 81713 without a remainder.

1, 41, 1993

Step-4: Factors of 81720

List of positive integer factors of 81720 that divides 81713 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 227, 360, 454, 681, 908, 1135, 1362, 1816, 2043, 2270, 2724, 3405, 4086, 4540, 5448, 6810, 8172, 9080, 10215, 13620, 16344, 20430, 27240, 40860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81713 and 81720. The biggest common factor number is the GCF number.
So the greatest common factor 81713 and 81720 is 1.

Also check out the Least Common Multiple of 81713 and 81720