What is the Greatest Common Factor of 94857 and 94875?

Greatest common factor (GCF) of 94857 and 94875 is 3.

GCF(94857,94875) = 3

We will now calculate the prime factors of 94857 and 94875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94857 and 94875.

How to find the GCF of 94857 and 94875?

We will first find the prime factorization of 94857 and 94875. After we will calculate the factors of 94857 and 94875 and find the biggest common factor number .

Step-1: Prime Factorization of 94857

Prime factors of 94857 are 3, 7, 4517. Prime factorization of 94857 in exponential form is:

94857 = 3¹ × 7¹ × 4517¹

Step-2: 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-3: Factors of 94857

List of positive integer factors of 94857 that divides 94857 without a remainder.

1, 3, 7, 21, 4517, 13551, 31619

Step-4: Factors of 94875

List of positive integer factors of 94875 that divides 94857 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94857 and 94875. The biggest common factor number is the GCF number.
So the greatest common factor 94857 and 94875 is 3.

Also check out the Least Common Multiple of 94857 and 94875