What is the Greatest Common Factor of 58388 and 58399?

Greatest common factor (GCF) of 58388 and 58399 is 11.

GCF(58388,58399) = 11

We will now calculate the prime factors of 58388 and 58399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58388 and 58399.

How to find the GCF of 58388 and 58399?

We will first find the prime factorization of 58388 and 58399. After we will calculate the factors of 58388 and 58399 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 58399

Prime factors of 58399 are 11, 5309. Prime factorization of 58399 in exponential form is:

58399 = 11¹ × 5309¹

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 58399

List of positive integer factors of 58399 that divides 58388 without a remainder.

1, 11, 5309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58388 and 58399. The biggest common factor number is the GCF number.
So the greatest common factor 58388 and 58399 is 11.

Also check out the Least Common Multiple of 58388 and 58399