What is the Greatest Common Factor of 94875 and 94893?

Greatest common factor (GCF) of 94875 and 94893 is 3.

GCF(94875,94893) = 3

We will now calculate the prime factors of 94875 and 94893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94875 and 94893.

How to find the GCF of 94875 and 94893?

We will first find the prime factorization of 94875 and 94893. After we will calculate the factors of 94875 and 94893 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 94893

Prime factors of 94893 are 3, 47, 673. Prime factorization of 94893 in exponential form is:

94893 = 3¹ × 47¹ × 673¹

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 94893

List of positive integer factors of 94893 that divides 94875 without a remainder.

1, 3, 47, 141, 673, 2019, 31631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94875 and 94893. The biggest common factor number is the GCF number.
So the greatest common factor 94875 and 94893 is 3.

Also check out the Least Common Multiple of 94875 and 94893