What is the Greatest Common Factor of 94875 and 94884?

Greatest common factor (GCF) of 94875 and 94884 is 3.

GCF(94875,94884) = 3

We will now calculate the prime factors of 94875 and 94884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94875 and 94884.

How to find the GCF of 94875 and 94884?

We will first find the prime factorization of 94875 and 94884. After we will calculate the factors of 94875 and 94884 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 94884

Prime factors of 94884 are 2, 3, 7907. Prime factorization of 94884 in exponential form is:

94884 = 2² × 3¹ × 7907¹

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 94884

List of positive integer factors of 94884 that divides 94875 without a remainder.

1, 2, 3, 4, 6, 12, 7907, 15814, 23721, 31628, 47442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94875 and 94884. The biggest common factor number is the GCF number.
So the greatest common factor 94875 and 94884 is 3.

Also check out the Least Common Multiple of 94875 and 94884