What is the Greatest Common Factor of 58157 and 58168?

Greatest common factor (GCF) of 58157 and 58168 is 11.

GCF(58157,58168) = 11

We will now calculate the prime factors of 58157 and 58168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58157 and 58168.

How to find the GCF of 58157 and 58168?

We will first find the prime factorization of 58157 and 58168. After we will calculate the factors of 58157 and 58168 and find the biggest common factor number .

Step-1: Prime Factorization of 58157

Prime factors of 58157 are 11, 17, 311. Prime factorization of 58157 in exponential form is:

58157 = 11¹ × 17¹ × 311¹

Step-2: Prime Factorization of 58168

Prime factors of 58168 are 2, 11, 661. Prime factorization of 58168 in exponential form is:

58168 = 2³ × 11¹ × 661¹

Step-3: Factors of 58157

List of positive integer factors of 58157 that divides 58157 without a remainder.

1, 11, 17, 187, 311, 3421, 5287

Step-4: Factors of 58168

List of positive integer factors of 58168 that divides 58157 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 661, 1322, 2644, 5288, 7271, 14542, 29084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58157 and 58168. The biggest common factor number is the GCF number.
So the greatest common factor 58157 and 58168 is 11.

Also check out the Least Common Multiple of 58157 and 58168