What is the Greatest Common Factor of 58188 and 58199?

Greatest common factor (GCF) of 58188 and 58199 is 1.

GCF(58188,58199) = 1

We will now calculate the prime factors of 58188 and 58199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58188 and 58199.

How to find the GCF of 58188 and 58199?

We will first find the prime factorization of 58188 and 58199. After we will calculate the factors of 58188 and 58199 and find the biggest common factor number .

Step-1: Prime Factorization of 58188

Prime factors of 58188 are 2, 3, 13, 373. Prime factorization of 58188 in exponential form is:

58188 = 2² × 3¹ × 13¹ × 373¹

Step-2: Prime Factorization of 58199

Prime factors of 58199 are 58199. Prime factorization of 58199 in exponential form is:

58199 = 58199¹

Step-3: Factors of 58188

List of positive integer factors of 58188 that divides 58188 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 373, 746, 1119, 1492, 2238, 4476, 4849, 9698, 14547, 19396, 29094

Step-4: Factors of 58199

List of positive integer factors of 58199 that divides 58188 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58188 and 58199. The biggest common factor number is the GCF number.
So the greatest common factor 58188 and 58199 is 1.

Also check out the Least Common Multiple of 58188 and 58199