What is the Greatest Common Factor of 81700 and 81720?

Greatest common factor (GCF) of 81700 and 81720 is 20.

GCF(81700,81720) = 20

We will now calculate the prime factors of 81700 and 81720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81700 and 81720.

How to find the GCF of 81700 and 81720?

We will first find the prime factorization of 81700 and 81720. After we will calculate the factors of 81700 and 81720 and find the biggest common factor number .

Step-1: Prime Factorization of 81700

Prime factors of 81700 are 2, 5, 19, 43. Prime factorization of 81700 in exponential form is:

81700 = 2² × 5² × 19¹ × 43¹

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 81700

List of positive integer factors of 81700 that divides 81700 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 43, 50, 76, 86, 95, 100, 172, 190, 215, 380, 430, 475, 817, 860, 950, 1075, 1634, 1900, 2150, 3268, 4085, 4300, 8170, 16340, 20425, 40850

Step-4: Factors of 81720

List of positive integer factors of 81720 that divides 81700 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 81700 and 81720. The biggest common factor number is the GCF number.
So the greatest common factor 81700 and 81720 is 20.

Also check out the Least Common Multiple of 81700 and 81720