What is the Greatest Common Factor of 54960 and 54966?

Greatest common factor (GCF) of 54960 and 54966 is 6.

GCF(54960,54966) = 6

We will now calculate the prime factors of 54960 and 54966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54960 and 54966.

How to find the GCF of 54960 and 54966?

We will first find the prime factorization of 54960 and 54966. After we will calculate the factors of 54960 and 54966 and find the biggest common factor number .

Step-1: Prime Factorization of 54960

Prime factors of 54960 are 2, 3, 5, 229. Prime factorization of 54960 in exponential form is:

54960 = 2⁴ × 3¹ × 5¹ × 229¹

Step-2: 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-3: Factors of 54960

List of positive integer factors of 54960 that divides 54960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 229, 240, 458, 687, 916, 1145, 1374, 1832, 2290, 2748, 3435, 3664, 4580, 5496, 6870, 9160, 10992, 13740, 18320, 27480

Step-4: Factors of 54966

List of positive integer factors of 54966 that divides 54960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54960 and 54966. The biggest common factor number is the GCF number.
So the greatest common factor 54960 and 54966 is 6.

Also check out the Least Common Multiple of 54960 and 54966