What is the Greatest Common Factor of 59176 and 59189?

Greatest common factor (GCF) of 59176 and 59189 is 13.

GCF(59176,59189) = 13

We will now calculate the prime factors of 59176 and 59189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59176 and 59189.

How to find the GCF of 59176 and 59189?

We will first find the prime factorization of 59176 and 59189. After we will calculate the factors of 59176 and 59189 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59189

Prime factors of 59189 are 13, 29, 157. Prime factorization of 59189 in exponential form is:

59189 = 13¹ × 29¹ × 157¹

Step-3: Factors of 59176

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

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

Step-4: Factors of 59189

List of positive integer factors of 59189 that divides 59176 without a remainder.

1, 13, 29, 157, 377, 2041, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59176 and 59189. The biggest common factor number is the GCF number.
So the greatest common factor 59176 and 59189 is 13.

Also check out the Least Common Multiple of 59176 and 59189