What is the Greatest Common Factor of 81385 and 81400?

Greatest common factor (GCF) of 81385 and 81400 is 5.

GCF(81385,81400) = 5

We will now calculate the prime factors of 81385 and 81400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81385 and 81400.

How to find the GCF of 81385 and 81400?

We will first find the prime factorization of 81385 and 81400. After we will calculate the factors of 81385 and 81400 and find the biggest common factor number .

Step-1: Prime Factorization of 81385

Prime factors of 81385 are 5, 41, 397. Prime factorization of 81385 in exponential form is:

81385 = 5¹ × 41¹ × 397¹

Step-2: Prime Factorization of 81400

Prime factors of 81400 are 2, 5, 11, 37. Prime factorization of 81400 in exponential form is:

81400 = 2³ × 5² × 11¹ × 37¹

Step-3: Factors of 81385

List of positive integer factors of 81385 that divides 81385 without a remainder.

1, 5, 41, 205, 397, 1985, 16277

Step-4: Factors of 81400

List of positive integer factors of 81400 that divides 81385 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 37, 40, 44, 50, 55, 74, 88, 100, 110, 148, 185, 200, 220, 275, 296, 370, 407, 440, 550, 740, 814, 925, 1100, 1480, 1628, 1850, 2035, 2200, 3256, 3700, 4070, 7400, 8140, 10175, 16280, 20350, 40700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81385 and 81400. The biggest common factor number is the GCF number.
So the greatest common factor 81385 and 81400 is 5.

Also check out the Least Common Multiple of 81385 and 81400