What is the Greatest Common Factor of 94875 and 94882?

Greatest common factor (GCF) of 94875 and 94882 is 1.

GCF(94875,94882) = 1

We will now calculate the prime factors of 94875 and 94882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94875 and 94882.

How to find the GCF of 94875 and 94882?

We will first find the prime factorization of 94875 and 94882. After we will calculate the factors of 94875 and 94882 and find the biggest common factor number .

Step-1: Prime Factorization of 94875

Prime factors of 94875 are 3, 5, 11, 23. Prime factorization of 94875 in exponential form is:

94875 = 3¹ × 5³ × 11¹ × 23¹

Step-2: Prime Factorization of 94882

Prime factors of 94882 are 2, 47441. Prime factorization of 94882 in exponential form is:

94882 = 2¹ × 47441¹

Step-3: Factors of 94875

List of positive integer factors of 94875 that divides 94875 without a remainder.

1, 3, 5, 11, 15, 23, 25, 33, 55, 69, 75, 115, 125, 165, 253, 275, 345, 375, 575, 759, 825, 1265, 1375, 1725, 2875, 3795, 4125, 6325, 8625, 18975, 31625

Step-4: Factors of 94882

List of positive integer factors of 94882 that divides 94875 without a remainder.

1, 2, 47441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94875 and 94882. The biggest common factor number is the GCF number.
So the greatest common factor 94875 and 94882 is 1.

Also check out the Least Common Multiple of 94875 and 94882