What is the Greatest Common Factor of 54928 and 54946?

Greatest common factor (GCF) of 54928 and 54946 is 2.

GCF(54928,54946) = 2

We will now calculate the prime factors of 54928 and 54946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54928 and 54946.

How to find the GCF of 54928 and 54946?

We will first find the prime factorization of 54928 and 54946. After we will calculate the factors of 54928 and 54946 and find the biggest common factor number .

Step-1: Prime Factorization of 54928

Prime factors of 54928 are 2, 3433. Prime factorization of 54928 in exponential form is:

54928 = 2⁴ × 3433¹

Step-2: Prime Factorization of 54946

Prime factors of 54946 are 2, 83, 331. Prime factorization of 54946 in exponential form is:

54946 = 2¹ × 83¹ × 331¹

Step-3: Factors of 54928

List of positive integer factors of 54928 that divides 54928 without a remainder.

1, 2, 4, 8, 16, 3433, 6866, 13732, 27464

Step-4: Factors of 54946

List of positive integer factors of 54946 that divides 54928 without a remainder.

1, 2, 83, 166, 331, 662, 27473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54928 and 54946. The biggest common factor number is the GCF number.
So the greatest common factor 54928 and 54946 is 2.

Also check out the Least Common Multiple of 54928 and 54946