What is the Greatest Common Factor of 54966 and 54975?

Greatest common factor (GCF) of 54966 and 54975 is 3.

GCF(54966,54975) = 3

We will now calculate the prime factors of 54966 and 54975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54966 and 54975.

How to find the GCF of 54966 and 54975?

We will first find the prime factorization of 54966 and 54975. After we will calculate the factors of 54966 and 54975 and find the biggest common factor number .

Step-1: Prime Factorization of 54966

Prime factors of 54966 are 2, 3, 9161. Prime factorization of 54966 in exponential form is:

54966 = 2¹ × 3¹ × 9161¹

Step-2: Prime Factorization of 54975

Prime factors of 54975 are 3, 5, 733. Prime factorization of 54975 in exponential form is:

54975 = 3¹ × 5² × 733¹

Step-3: Factors of 54966

List of positive integer factors of 54966 that divides 54966 without a remainder.

1, 2, 3, 6, 9161, 18322, 27483

Step-4: Factors of 54975

List of positive integer factors of 54975 that divides 54966 without a remainder.

1, 3, 5, 15, 25, 75, 733, 2199, 3665, 10995, 18325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54966 and 54975. The biggest common factor number is the GCF number.
So the greatest common factor 54966 and 54975 is 3.

Also check out the Least Common Multiple of 54966 and 54975