What is the Greatest Common Factor of 76248 and 76256?

Greatest common factor (GCF) of 76248 and 76256 is 8.

GCF(76248,76256) = 8

We will now calculate the prime factors of 76248 and 76256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76248 and 76256.

How to find the GCF of 76248 and 76256?

We will first find the prime factorization of 76248 and 76256. After we will calculate the factors of 76248 and 76256 and find the biggest common factor number .

Step-1: Prime Factorization of 76248

Prime factors of 76248 are 2, 3, 353. Prime factorization of 76248 in exponential form is:

76248 = 2³ × 3³ × 353¹

Step-2: Prime Factorization of 76256

Prime factors of 76256 are 2, 2383. Prime factorization of 76256 in exponential form is:

76256 = 2⁵ × 2383¹

Step-3: Factors of 76248

List of positive integer factors of 76248 that divides 76248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 353, 706, 1059, 1412, 2118, 2824, 3177, 4236, 6354, 8472, 9531, 12708, 19062, 25416, 38124

Step-4: Factors of 76256

List of positive integer factors of 76256 that divides 76248 without a remainder.

1, 2, 4, 8, 16, 32, 2383, 4766, 9532, 19064, 38128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76248 and 76256. The biggest common factor number is the GCF number.
So the greatest common factor 76248 and 76256 is 8.

Also check out the Least Common Multiple of 76248 and 76256