What is the Greatest Common Factor of 81875 and 81885?

Greatest common factor (GCF) of 81875 and 81885 is 5.

GCF(81875,81885) = 5

We will now calculate the prime factors of 81875 and 81885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81875 and 81885.

How to find the GCF of 81875 and 81885?

We will first find the prime factorization of 81875 and 81885. After we will calculate the factors of 81875 and 81885 and find the biggest common factor number .

Step-1: Prime Factorization of 81875

Prime factors of 81875 are 5, 131. Prime factorization of 81875 in exponential form is:

81875 = 5⁴ × 131¹

Step-2: 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-3: Factors of 81875

List of positive integer factors of 81875 that divides 81875 without a remainder.

1, 5, 25, 125, 131, 625, 655, 3275, 16375

Step-4: Factors of 81885

List of positive integer factors of 81885 that divides 81875 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81875 and 81885. The biggest common factor number is the GCF number.
So the greatest common factor 81875 and 81885 is 5.

Also check out the Least Common Multiple of 81875 and 81885