What is the Greatest Common Factor of 81864 and 81875?

Greatest common factor (GCF) of 81864 and 81875 is 1.

GCF(81864,81875) = 1

We will now calculate the prime factors of 81864 and 81875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81864 and 81875.

How to find the GCF of 81864 and 81875?

We will first find the prime factorization of 81864 and 81875. After we will calculate the factors of 81864 and 81875 and find the biggest common factor number .

Step-1: Prime Factorization of 81864

Prime factors of 81864 are 2, 3, 379. Prime factorization of 81864 in exponential form is:

81864 = 2³ × 3³ × 379¹

Step-2: Prime Factorization of 81875

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

81875 = 5⁴ × 131¹

Step-3: Factors of 81864

List of positive integer factors of 81864 that divides 81864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 379, 758, 1137, 1516, 2274, 3032, 3411, 4548, 6822, 9096, 10233, 13644, 20466, 27288, 40932

Step-4: Factors of 81875

List of positive integer factors of 81875 that divides 81864 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81864 and 81875. The biggest common factor number is the GCF number.
So the greatest common factor 81864 and 81875 is 1.

Also check out the Least Common Multiple of 81864 and 81875