What is the Greatest Common Factor of 94875 and 94889?

Greatest common factor (GCF) of 94875 and 94889 is 1.

GCF(94875,94889) = 1

We will now calculate the prime factors of 94875 and 94889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94875 and 94889.

How to find the GCF of 94875 and 94889?

We will first find the prime factorization of 94875 and 94889. After we will calculate the factors of 94875 and 94889 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 94889

Prime factors of 94889 are 94889. Prime factorization of 94889 in exponential form is:

94889 = 94889¹

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 94889

List of positive integer factors of 94889 that divides 94875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94875 and 94889. The biggest common factor number is the GCF number.
So the greatest common factor 94875 and 94889 is 1.

Also check out the Least Common Multiple of 94875 and 94889