What is the Greatest Common Factor of 48237 and 48256?

Greatest common factor (GCF) of 48237 and 48256 is 1.

GCF(48237,48256) = 1

We will now calculate the prime factors of 48237 and 48256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48237 and 48256.

How to find the GCF of 48237 and 48256?

We will first find the prime factorization of 48237 and 48256. After we will calculate the factors of 48237 and 48256 and find the biggest common factor number .

Step-1: Prime Factorization of 48237

Prime factors of 48237 are 3, 7, 2297. Prime factorization of 48237 in exponential form is:

48237 = 3¹ × 7¹ × 2297¹

Step-2: 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-3: Factors of 48237

List of positive integer factors of 48237 that divides 48237 without a remainder.

1, 3, 7, 21, 2297, 6891, 16079

Step-4: Factors of 48256

List of positive integer factors of 48256 that divides 48237 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48237 and 48256. The biggest common factor number is the GCF number.
So the greatest common factor 48237 and 48256 is 1.

Also check out the Least Common Multiple of 48237 and 48256