What is the Greatest Common Factor of 48256 and 48268?

Greatest common factor (GCF) of 48256 and 48268 is 4.

GCF(48256,48268) = 4

We will now calculate the prime factors of 48256 and 48268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48256 and 48268.

How to find the GCF of 48256 and 48268?

We will first find the prime factorization of 48256 and 48268. After we will calculate the factors of 48256 and 48268 and find the biggest common factor number .

Step-1: Prime Factorization of 48256

Prime factors of 48256 are 2, 13, 29. Prime factorization of 48256 in exponential form is:

48256 = 2⁷ × 13¹ × 29¹

Step-2: Prime Factorization of 48268

Prime factors of 48268 are 2, 11, 1097. Prime factorization of 48268 in exponential form is:

48268 = 2² × 11¹ × 1097¹

Step-3: Factors of 48256

List of positive integer factors of 48256 that divides 48256 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 32, 52, 58, 64, 104, 116, 128, 208, 232, 377, 416, 464, 754, 832, 928, 1508, 1664, 1856, 3016, 3712, 6032, 12064, 24128

Step-4: Factors of 48268

List of positive integer factors of 48268 that divides 48256 without a remainder.

1, 2, 4, 11, 22, 44, 1097, 2194, 4388, 12067, 24134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48256 and 48268. The biggest common factor number is the GCF number.
So the greatest common factor 48256 and 48268 is 4.

Also check out the Least Common Multiple of 48256 and 48268