What is the Greatest Common Factor of 4928 and 4946?

Greatest common factor (GCF) of 4928 and 4946 is 2.

GCF(4928,4946) = 2

We will now calculate the prime factors of 4928 and 4946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4928 and 4946.

How to find the GCF of 4928 and 4946?

We will first find the prime factorization of 4928 and 4946. After we will calculate the factors of 4928 and 4946 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 4946

Prime factors of 4946 are 2, 2473. Prime factorization of 4946 in exponential form is:

4946 = 2¹ × 2473¹

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 4946

List of positive integer factors of 4946 that divides 4928 without a remainder.

1, 2, 2473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4928 and 4946. The biggest common factor number is the GCF number.
So the greatest common factor 4928 and 4946 is 2.

Also check out the Least Common Multiple of 4928 and 4946