What is the Greatest Common Factor of 54928 and 54932?

Greatest common factor (GCF) of 54928 and 54932 is 4.

GCF(54928,54932) = 4

We will now calculate the prime factors of 54928 and 54932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54928 and 54932.

How to find the GCF of 54928 and 54932?

We will first find the prime factorization of 54928 and 54932. After we will calculate the factors of 54928 and 54932 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 54932

Prime factors of 54932 are 2, 31, 443. Prime factorization of 54932 in exponential form is:

54932 = 2² × 31¹ × 443¹

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 54932

List of positive integer factors of 54932 that divides 54928 without a remainder.

1, 2, 4, 31, 62, 124, 443, 886, 1772, 13733, 27466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54928 and 54932. The biggest common factor number is the GCF number.
So the greatest common factor 54928 and 54932 is 4.

Also check out the Least Common Multiple of 54928 and 54932