What is the Greatest Common Factor of 81720 and 81730?

Greatest common factor (GCF) of 81720 and 81730 is 10.

GCF(81720,81730) = 10

We will now calculate the prime factors of 81720 and 81730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81720 and 81730.

How to find the GCF of 81720 and 81730?

We will first find the prime factorization of 81720 and 81730. After we will calculate the factors of 81720 and 81730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81730

Prime factors of 81730 are 2, 5, 11, 743. Prime factorization of 81730 in exponential form is:

81730 = 2¹ × 5¹ × 11¹ × 743¹

Step-3: Factors of 81720

List of positive integer factors of 81720 that divides 81720 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

Step-4: Factors of 81730

List of positive integer factors of 81730 that divides 81720 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 743, 1486, 3715, 7430, 8173, 16346, 40865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81720 and 81730. The biggest common factor number is the GCF number.
So the greatest common factor 81720 and 81730 is 10.

Also check out the Least Common Multiple of 81720 and 81730