What is the Greatest Common Factor of 59173 and 59189?

Greatest common factor (GCF) of 59173 and 59189 is 1.

GCF(59173,59189) = 1

We will now calculate the prime factors of 59173 and 59189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59173 and 59189.

How to find the GCF of 59173 and 59189?

We will first find the prime factorization of 59173 and 59189. After we will calculate the factors of 59173 and 59189 and find the biggest common factor number .

Step-1: Prime Factorization of 59173

Prime factors of 59173 are 47, 1259. Prime factorization of 59173 in exponential form is:

59173 = 47¹ × 1259¹

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 59173

List of positive integer factors of 59173 that divides 59173 without a remainder.

1, 47, 1259

Step-4: Factors of 59189

List of positive integer factors of 59189 that divides 59173 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59173 and 59189. The biggest common factor number is the GCF number.
So the greatest common factor 59173 and 59189 is 1.

Also check out the Least Common Multiple of 59173 and 59189