What is the Greatest Common Factor of 58160 and 58166?

Greatest common factor (GCF) of 58160 and 58166 is 2.

GCF(58160,58166) = 2

We will now calculate the prime factors of 58160 and 58166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58160 and 58166.

How to find the GCF of 58160 and 58166?

We will first find the prime factorization of 58160 and 58166. After we will calculate the factors of 58160 and 58166 and find the biggest common factor number .

Step-1: Prime Factorization of 58160

Prime factors of 58160 are 2, 5, 727. Prime factorization of 58160 in exponential form is:

58160 = 2⁴ × 5¹ × 727¹

Step-2: Prime Factorization of 58166

Prime factors of 58166 are 2, 127, 229. Prime factorization of 58166 in exponential form is:

58166 = 2¹ × 127¹ × 229¹

Step-3: Factors of 58160

List of positive integer factors of 58160 that divides 58160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 727, 1454, 2908, 3635, 5816, 7270, 11632, 14540, 29080

Step-4: Factors of 58166

List of positive integer factors of 58166 that divides 58160 without a remainder.

1, 2, 127, 229, 254, 458, 29083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58160 and 58166. The biggest common factor number is the GCF number.
So the greatest common factor 58160 and 58166 is 2.

Also check out the Least Common Multiple of 58160 and 58166