What is the Greatest Common Factor of 96928 and 96938?

Greatest common factor (GCF) of 96928 and 96938 is 2.

GCF(96928,96938) = 2

We will now calculate the prime factors of 96928 and 96938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96928 and 96938.

How to find the GCF of 96928 and 96938?

We will first find the prime factorization of 96928 and 96938. After we will calculate the factors of 96928 and 96938 and find the biggest common factor number .

Step-1: Prime Factorization of 96928

Prime factors of 96928 are 2, 13, 233. Prime factorization of 96928 in exponential form is:

96928 = 2⁵ × 13¹ × 233¹

Step-2: Prime Factorization of 96938

Prime factors of 96938 are 2, 19, 2551. Prime factorization of 96938 in exponential form is:

96938 = 2¹ × 19¹ × 2551¹

Step-3: Factors of 96928

List of positive integer factors of 96928 that divides 96928 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 233, 416, 466, 932, 1864, 3029, 3728, 6058, 7456, 12116, 24232, 48464

Step-4: Factors of 96938

List of positive integer factors of 96938 that divides 96928 without a remainder.

1, 2, 19, 38, 2551, 5102, 48469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96928 and 96938. The biggest common factor number is the GCF number.
So the greatest common factor 96928 and 96938 is 2.

Also check out the Least Common Multiple of 96928 and 96938