What is the Greatest Common Factor of 54928 and 54948?

Greatest common factor (GCF) of 54928 and 54948 is 4.

GCF(54928,54948) = 4

We will now calculate the prime factors of 54928 and 54948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54928 and 54948.

How to find the GCF of 54928 and 54948?

We will first find the prime factorization of 54928 and 54948. After we will calculate the factors of 54928 and 54948 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 54948

Prime factors of 54948 are 2, 3, 19, 241. Prime factorization of 54948 in exponential form is:

54948 = 2² × 3¹ × 19¹ × 241¹

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 54948

List of positive integer factors of 54948 that divides 54928 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 241, 482, 723, 964, 1446, 2892, 4579, 9158, 13737, 18316, 27474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54928 and 54948. The biggest common factor number is the GCF number.
So the greatest common factor 54928 and 54948 is 4.

Also check out the Least Common Multiple of 54928 and 54948