What is the Greatest Common Factor of 59204 and 59215?

Greatest common factor (GCF) of 59204 and 59215 is 1.

GCF(59204,59215) = 1

We will now calculate the prime factors of 59204 and 59215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59204 and 59215.

How to find the GCF of 59204 and 59215?

We will first find the prime factorization of 59204 and 59215. After we will calculate the factors of 59204 and 59215 and find the biggest common factor number .

Step-1: Prime Factorization of 59204

Prime factors of 59204 are 2, 19, 41. Prime factorization of 59204 in exponential form is:

59204 = 2² × 19² × 41¹

Step-2: Prime Factorization of 59215

Prime factors of 59215 are 5, 13, 911. Prime factorization of 59215 in exponential form is:

59215 = 5¹ × 13¹ × 911¹

Step-3: Factors of 59204

List of positive integer factors of 59204 that divides 59204 without a remainder.

1, 2, 4, 19, 38, 41, 76, 82, 164, 361, 722, 779, 1444, 1558, 3116, 14801, 29602

Step-4: Factors of 59215

List of positive integer factors of 59215 that divides 59204 without a remainder.

1, 5, 13, 65, 911, 4555, 11843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59204 and 59215. The biggest common factor number is the GCF number.
So the greatest common factor 59204 and 59215 is 1.

Also check out the Least Common Multiple of 59204 and 59215