What is the Greatest Common Factor of 59163 and 59176?

Greatest common factor (GCF) of 59163 and 59176 is 13.

GCF(59163,59176) = 13

We will now calculate the prime factors of 59163 and 59176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59163 and 59176.

How to find the GCF of 59163 and 59176?

We will first find the prime factorization of 59163 and 59176. After we will calculate the factors of 59163 and 59176 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59176

Prime factors of 59176 are 2, 13, 569. Prime factorization of 59176 in exponential form is:

59176 = 2³ × 13¹ × 569¹

Step-3: Factors of 59163

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

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

Step-4: Factors of 59176

List of positive integer factors of 59176 that divides 59163 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 569, 1138, 2276, 4552, 7397, 14794, 29588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59163 and 59176. The biggest common factor number is the GCF number.
So the greatest common factor 59163 and 59176 is 13.

Also check out the Least Common Multiple of 59163 and 59176