What is the Greatest Common Factor of 4914 and 4928?

Greatest common factor (GCF) of 4914 and 4928 is 14.

GCF(4914,4928) = 14

We will now calculate the prime factors of 4914 and 4928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4914 and 4928.

How to find the GCF of 4914 and 4928?

We will first find the prime factorization of 4914 and 4928. After we will calculate the factors of 4914 and 4928 and find the biggest common factor number .

Step-1: Prime Factorization of 4914

Prime factors of 4914 are 2, 3, 7, 13. Prime factorization of 4914 in exponential form is:

4914 = 2¹ × 3³ × 7¹ × 13¹

Step-2: 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-3: Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457

Step-4: Factors of 4928

List of positive integer factors of 4928 that divides 4914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4914 and 4928. The biggest common factor number is the GCF number.
So the greatest common factor 4914 and 4928 is 14.

Also check out the Least Common Multiple of 4914 and 4928