What is the Greatest Common Factor of 54966 and 54973?

Greatest common factor (GCF) of 54966 and 54973 is 1.

GCF(54966,54973) = 1

We will now calculate the prime factors of 54966 and 54973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54966 and 54973.

How to find the GCF of 54966 and 54973?

We will first find the prime factorization of 54966 and 54973. After we will calculate the factors of 54966 and 54973 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 54973

Prime factors of 54973 are 54973. Prime factorization of 54973 in exponential form is:

54973 = 54973¹

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 54973

List of positive integer factors of 54973 that divides 54966 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54966 and 54973. The biggest common factor number is the GCF number.
So the greatest common factor 54966 and 54973 is 1.

Also check out the Least Common Multiple of 54966 and 54973