What is the Greatest Common Factor of 58241 and 58256?

Greatest common factor (GCF) of 58241 and 58256 is 1.

GCF(58241,58256) = 1

We will now calculate the prime factors of 58241 and 58256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58241 and 58256.

How to find the GCF of 58241 and 58256?

We will first find the prime factorization of 58241 and 58256. After we will calculate the factors of 58241 and 58256 and find the biggest common factor number .

Step-1: Prime Factorization of 58241

Prime factors of 58241 are 139, 419. Prime factorization of 58241 in exponential form is:

58241 = 139¹ × 419¹

Step-2: Prime Factorization of 58256

Prime factors of 58256 are 2, 11, 331. Prime factorization of 58256 in exponential form is:

58256 = 2⁴ × 11¹ × 331¹

Step-3: Factors of 58241

List of positive integer factors of 58241 that divides 58241 without a remainder.

1, 139, 419

Step-4: Factors of 58256

List of positive integer factors of 58256 that divides 58241 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 331, 662, 1324, 2648, 3641, 5296, 7282, 14564, 29128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58241 and 58256. The biggest common factor number is the GCF number.
So the greatest common factor 58241 and 58256 is 1.

Also check out the Least Common Multiple of 58241 and 58256