What is the Greatest Common Factor of 81720 and 81725?

Greatest common factor (GCF) of 81720 and 81725 is 5.

GCF(81720,81725) = 5

We will now calculate the prime factors of 81720 and 81725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81720 and 81725.

How to find the GCF of 81720 and 81725?

We will first find the prime factorization of 81720 and 81725. After we will calculate the factors of 81720 and 81725 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 81725

Prime factors of 81725 are 5, 7, 467. Prime factorization of 81725 in exponential form is:

81725 = 5² × 7¹ × 467¹

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 81725

List of positive integer factors of 81725 that divides 81720 without a remainder.

1, 5, 7, 25, 35, 175, 467, 2335, 3269, 11675, 16345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81720 and 81725. The biggest common factor number is the GCF number.
So the greatest common factor 81720 and 81725 is 5.

Also check out the Least Common Multiple of 81720 and 81725