What is the Greatest Common Factor of 96914 and 96928?

Greatest common factor (GCF) of 96914 and 96928 is 2.

GCF(96914,96928) = 2

We will now calculate the prime factors of 96914 and 96928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96914 and 96928.

How to find the GCF of 96914 and 96928?

We will first find the prime factorization of 96914 and 96928. After we will calculate the factors of 96914 and 96928 and find the biggest common factor number .

Step-1: Prime Factorization of 96914

Prime factors of 96914 are 2, 47, 1031. Prime factorization of 96914 in exponential form is:

96914 = 2¹ × 47¹ × 1031¹

Step-2: 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-3: Factors of 96914

List of positive integer factors of 96914 that divides 96914 without a remainder.

1, 2, 47, 94, 1031, 2062, 48457

Step-4: Factors of 96928

List of positive integer factors of 96928 that divides 96914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96914 and 96928. The biggest common factor number is the GCF number.
So the greatest common factor 96914 and 96928 is 2.

Also check out the Least Common Multiple of 96914 and 96928