What is the Greatest Common Factor of 48256 and 48264?

Greatest common factor (GCF) of 48256 and 48264 is 8.

GCF(48256,48264) = 8

We will now calculate the prime factors of 48256 and 48264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48256 and 48264.

How to find the GCF of 48256 and 48264?

We will first find the prime factorization of 48256 and 48264. After we will calculate the factors of 48256 and 48264 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 48264

Prime factors of 48264 are 2, 3, 2011. Prime factorization of 48264 in exponential form is:

48264 = 2³ × 3¹ × 2011¹

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 48264

List of positive integer factors of 48264 that divides 48256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2011, 4022, 6033, 8044, 12066, 16088, 24132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48256 and 48264. The biggest common factor number is the GCF number.
So the greatest common factor 48256 and 48264 is 8.

Also check out the Least Common Multiple of 48256 and 48264