What is the Greatest Common Factor of 58388 and 58393?

Greatest common factor (GCF) of 58388 and 58393 is 1.

GCF(58388,58393) = 1

We will now calculate the prime factors of 58388 and 58393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58388 and 58393.

How to find the GCF of 58388 and 58393?

We will first find the prime factorization of 58388 and 58393. After we will calculate the factors of 58388 and 58393 and find the biggest common factor number .

Step-1: Prime Factorization of 58388

Prime factors of 58388 are 2, 11, 1327. Prime factorization of 58388 in exponential form is:

58388 = 2² × 11¹ × 1327¹

Step-2: Prime Factorization of 58393

Prime factors of 58393 are 58393. Prime factorization of 58393 in exponential form is:

58393 = 58393¹

Step-3: Factors of 58388

List of positive integer factors of 58388 that divides 58388 without a remainder.

1, 2, 4, 11, 22, 44, 1327, 2654, 5308, 14597, 29194

Step-4: Factors of 58393

List of positive integer factors of 58393 that divides 58388 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58388 and 58393. The biggest common factor number is the GCF number.
So the greatest common factor 58388 and 58393 is 1.

Also check out the Least Common Multiple of 58388 and 58393