What is the Greatest Common Factor of 96928 and 96944?

Greatest common factor (GCF) of 96928 and 96944 is 16.

GCF(96928,96944) = 16

We will now calculate the prime factors of 96928 and 96944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96928 and 96944.

How to find the GCF of 96928 and 96944?

We will first find the prime factorization of 96928 and 96944. After we will calculate the factors of 96928 and 96944 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 96944

Prime factors of 96944 are 2, 73, 83. Prime factorization of 96944 in exponential form is:

96944 = 2⁴ × 73¹ × 83¹

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 96944

List of positive integer factors of 96944 that divides 96928 without a remainder.

1, 2, 4, 8, 16, 73, 83, 146, 166, 292, 332, 584, 664, 1168, 1328, 6059, 12118, 24236, 48472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96928 and 96944. The biggest common factor number is the GCF number.
So the greatest common factor 96928 and 96944 is 16.

Also check out the Least Common Multiple of 96928 and 96944