What is the Greatest Common Factor of 81363 and 81375?

Greatest common factor (GCF) of 81363 and 81375 is 3.

GCF(81363,81375) = 3

We will now calculate the prime factors of 81363 and 81375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81363 and 81375.

How to find the GCF of 81363 and 81375?

We will first find the prime factorization of 81363 and 81375. After we will calculate the factors of 81363 and 81375 and find the biggest common factor number .

Step-1: Prime Factorization of 81363

Prime factors of 81363 are 3, 37, 733. Prime factorization of 81363 in exponential form is:

81363 = 3¹ × 37¹ × 733¹

Step-2: 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-3: Factors of 81363

List of positive integer factors of 81363 that divides 81363 without a remainder.

1, 3, 37, 111, 733, 2199, 27121

Step-4: Factors of 81375

List of positive integer factors of 81375 that divides 81363 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81363 and 81375. The biggest common factor number is the GCF number.
So the greatest common factor 81363 and 81375 is 3.

Also check out the Least Common Multiple of 81363 and 81375