What is the Greatest Common Factor of 81375 and 81385?

Greatest common factor (GCF) of 81375 and 81385 is 5.

GCF(81375,81385) = 5

We will now calculate the prime factors of 81375 and 81385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81375 and 81385.

How to find the GCF of 81375 and 81385?

We will first find the prime factorization of 81375 and 81385. After we will calculate the factors of 81375 and 81385 and find the biggest common factor number .

Step-1: Prime Factorization of 81375

Prime factors of 81375 are 3, 5, 7, 31. Prime factorization of 81375 in exponential form is:

81375 = 3¹ × 5³ × 7¹ × 31¹

Step-2: 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-3: Factors of 81375

List of positive integer factors of 81375 that divides 81375 without a remainder.

1, 3, 5, 7, 15, 21, 25, 31, 35, 75, 93, 105, 125, 155, 175, 217, 375, 465, 525, 651, 775, 875, 1085, 2325, 2625, 3255, 3875, 5425, 11625, 16275, 27125

Step-4: Factors of 81385

List of positive integer factors of 81385 that divides 81375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81375 and 81385. The biggest common factor number is the GCF number.
So the greatest common factor 81375 and 81385 is 5.

Also check out the Least Common Multiple of 81375 and 81385