What is the Greatest Common Factor of 59189 and 59205?

Greatest common factor (GCF) of 59189 and 59205 is 1.

GCF(59189,59205) = 1

We will now calculate the prime factors of 59189 and 59205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59189 and 59205.

How to find the GCF of 59189 and 59205?

We will first find the prime factorization of 59189 and 59205. After we will calculate the factors of 59189 and 59205 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59205

Prime factors of 59205 are 3, 5, 3947. Prime factorization of 59205 in exponential form is:

59205 = 3¹ × 5¹ × 3947¹

Step-3: Factors of 59189

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

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

Step-4: Factors of 59205

List of positive integer factors of 59205 that divides 59189 without a remainder.

1, 3, 5, 15, 3947, 11841, 19735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59189 and 59205. The biggest common factor number is the GCF number.
So the greatest common factor 59189 and 59205 is 1.

Also check out the Least Common Multiple of 59189 and 59205