What is the Greatest Common Factor of 58199 and 58208?

Greatest common factor (GCF) of 58199 and 58208 is 1.

GCF(58199,58208) = 1

We will now calculate the prime factors of 58199 and 58208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58199 and 58208.

How to find the GCF of 58199 and 58208?

We will first find the prime factorization of 58199 and 58208. After we will calculate the factors of 58199 and 58208 and find the biggest common factor number .

Step-1: Prime Factorization of 58199

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

58199 = 58199¹

Step-2: Prime Factorization of 58208

Prime factors of 58208 are 2, 17, 107. Prime factorization of 58208 in exponential form is:

58208 = 2⁵ × 17¹ × 107¹

Step-3: Factors of 58199

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

Step-4: Factors of 58208

List of positive integer factors of 58208 that divides 58199 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 107, 136, 214, 272, 428, 544, 856, 1712, 1819, 3424, 3638, 7276, 14552, 29104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58199 and 58208. The biggest common factor number is the GCF number.
So the greatest common factor 58199 and 58208 is 1.

Also check out the Least Common Multiple of 58199 and 58208