What is the Greatest Common Factor of 59146 and 59163?

Greatest common factor (GCF) of 59146 and 59163 is 1.

GCF(59146,59163) = 1

We will now calculate the prime factors of 59146 and 59163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59146 and 59163.

How to find the GCF of 59146 and 59163?

We will first find the prime factorization of 59146 and 59163. After we will calculate the factors of 59146 and 59163 and find the biggest common factor number .

Step-1: Prime Factorization of 59146

Prime factors of 59146 are 2, 29573. Prime factorization of 59146 in exponential form is:

59146 = 2¹ × 29573¹

Step-2: Prime Factorization of 59163

Prime factors of 59163 are 3, 13, 37, 41. Prime factorization of 59163 in exponential form is:

59163 = 3¹ × 13¹ × 37¹ × 41¹

Step-3: Factors of 59146

List of positive integer factors of 59146 that divides 59146 without a remainder.

1, 2, 29573

Step-4: Factors of 59163

List of positive integer factors of 59163 that divides 59146 without a remainder.

1, 3, 13, 37, 39, 41, 111, 123, 481, 533, 1443, 1517, 1599, 4551, 19721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59146 and 59163. The biggest common factor number is the GCF number.
So the greatest common factor 59146 and 59163 is 1.

Also check out the Least Common Multiple of 59146 and 59163