What is the Greatest Common Factor of 4928 and 4948?

Greatest common factor (GCF) of 4928 and 4948 is 4.

GCF(4928,4948) = 4

We will now calculate the prime factors of 4928 and 4948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4928 and 4948.

How to find the GCF of 4928 and 4948?

We will first find the prime factorization of 4928 and 4948. After we will calculate the factors of 4928 and 4948 and find the biggest common factor number .

Step-1: Prime Factorization of 4928

Prime factors of 4928 are 2, 7, 11. Prime factorization of 4928 in exponential form is:

4928 = 2⁶ × 7¹ × 11¹

Step-2: Prime Factorization of 4948

Prime factors of 4948 are 2, 1237. Prime factorization of 4948 in exponential form is:

4948 = 2² × 1237¹

Step-3: Factors of 4928

List of positive integer factors of 4928 that divides 4928 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464

Step-4: Factors of 4948

List of positive integer factors of 4948 that divides 4928 without a remainder.

1, 2, 4, 1237, 2474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4928 and 4948. The biggest common factor number is the GCF number.
So the greatest common factor 4928 and 4948 is 4.

Also check out the Least Common Multiple of 4928 and 4948