What is the Greatest Common Factor of 96256 and 96260?

Greatest common factor (GCF) of 96256 and 96260 is 4.

GCF(96256,96260) = 4

We will now calculate the prime factors of 96256 and 96260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96256 and 96260.

How to find the GCF of 96256 and 96260?

We will first find the prime factorization of 96256 and 96260. After we will calculate the factors of 96256 and 96260 and find the biggest common factor number .

Step-1: Prime Factorization of 96256

Prime factors of 96256 are 2, 47. Prime factorization of 96256 in exponential form is:

96256 = 2¹¹ × 47¹

Step-2: Prime Factorization of 96260

Prime factors of 96260 are 2, 5, 4813. Prime factorization of 96260 in exponential form is:

96260 = 2² × 5¹ × 4813¹

Step-3: Factors of 96256

List of positive integer factors of 96256 that divides 96256 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1024, 1504, 2048, 3008, 6016, 12032, 24064, 48128

Step-4: Factors of 96260

List of positive integer factors of 96260 that divides 96256 without a remainder.

1, 2, 4, 5, 10, 20, 4813, 9626, 19252, 24065, 48130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96256 and 96260. The biggest common factor number is the GCF number.
So the greatest common factor 96256 and 96260 is 4.

Also check out the Least Common Multiple of 96256 and 96260