What is the Greatest Common Factor of 81885 and 81905?

Greatest common factor (GCF) of 81885 and 81905 is 5.

GCF(81885,81905) = 5

We will now calculate the prime factors of 81885 and 81905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81885 and 81905.

How to find the GCF of 81885 and 81905?

We will first find the prime factorization of 81885 and 81905. After we will calculate the factors of 81885 and 81905 and find the biggest common factor number .

Step-1: Prime Factorization of 81885

Prime factors of 81885 are 3, 5, 53, 103. Prime factorization of 81885 in exponential form is:

81885 = 3¹ × 5¹ × 53¹ × 103¹

Step-2: Prime Factorization of 81905

Prime factors of 81905 are 5, 16381. Prime factorization of 81905 in exponential form is:

81905 = 5¹ × 16381¹

Step-3: Factors of 81885

List of positive integer factors of 81885 that divides 81885 without a remainder.

1, 3, 5, 15, 53, 103, 159, 265, 309, 515, 795, 1545, 5459, 16377, 27295

Step-4: Factors of 81905

List of positive integer factors of 81905 that divides 81885 without a remainder.

1, 5, 16381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81885 and 81905. The biggest common factor number is the GCF number.
So the greatest common factor 81885 and 81905 is 5.

Also check out the Least Common Multiple of 81885 and 81905