What is the Greatest Common Factor of 96928 and 96945?

Greatest common factor (GCF) of 96928 and 96945 is 1.

GCF(96928,96945) = 1

We will now calculate the prime factors of 96928 and 96945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96928 and 96945.

How to find the GCF of 96928 and 96945?

We will first find the prime factorization of 96928 and 96945. After we will calculate the factors of 96928 and 96945 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 96945

Prime factors of 96945 are 3, 5, 23, 281. Prime factorization of 96945 in exponential form is:

96945 = 3¹ × 5¹ × 23¹ × 281¹

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 96945

List of positive integer factors of 96945 that divides 96928 without a remainder.

1, 3, 5, 15, 23, 69, 115, 281, 345, 843, 1405, 4215, 6463, 19389, 32315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96928 and 96945. The biggest common factor number is the GCF number.
So the greatest common factor 96928 and 96945 is 1.

Also check out the Least Common Multiple of 96928 and 96945