What is the Greatest Common Factor of 58093 and 58110?

Greatest common factor (GCF) of 58093 and 58110 is 1.

GCF(58093,58110) = 1

We will now calculate the prime factors of 58093 and 58110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58093 and 58110.

How to find the GCF of 58093 and 58110?

We will first find the prime factorization of 58093 and 58110. After we will calculate the factors of 58093 and 58110 and find the biggest common factor number .

Step-1: Prime Factorization of 58093

Prime factors of 58093 are 7, 43, 193. Prime factorization of 58093 in exponential form is:

58093 = 7¹ × 43¹ × 193¹

Step-2: Prime Factorization of 58110

Prime factors of 58110 are 2, 3, 5, 13, 149. Prime factorization of 58110 in exponential form is:

58110 = 2¹ × 3¹ × 5¹ × 13¹ × 149¹

Step-3: Factors of 58093

List of positive integer factors of 58093 that divides 58093 without a remainder.

1, 7, 43, 193, 301, 1351, 8299

Step-4: Factors of 58110

List of positive integer factors of 58110 that divides 58093 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 149, 195, 298, 390, 447, 745, 894, 1490, 1937, 2235, 3874, 4470, 5811, 9685, 11622, 19370, 29055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58093 and 58110. The biggest common factor number is the GCF number.
So the greatest common factor 58093 and 58110 is 1.

Also check out the Least Common Multiple of 58093 and 58110