What is the Greatest Common Factor of 58208 and 58227?

Greatest common factor (GCF) of 58208 and 58227 is 1.

GCF(58208,58227) = 1

We will now calculate the prime factors of 58208 and 58227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58208 and 58227.

How to find the GCF of 58208 and 58227?

We will first find the prime factorization of 58208 and 58227. After we will calculate the factors of 58208 and 58227 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58227

Prime factors of 58227 are 3, 13, 1493. Prime factorization of 58227 in exponential form is:

58227 = 3¹ × 13¹ × 1493¹

Step-3: Factors of 58208

List of positive integer factors of 58208 that divides 58208 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

Step-4: Factors of 58227

List of positive integer factors of 58227 that divides 58208 without a remainder.

1, 3, 13, 39, 1493, 4479, 19409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58208 and 58227. The biggest common factor number is the GCF number.
So the greatest common factor 58208 and 58227 is 1.

Also check out the Least Common Multiple of 58208 and 58227