What is the Greatest Common Factor of 59185 and 59204?

Greatest common factor (GCF) of 59185 and 59204 is 19.

GCF(59185,59204) = 19

We will now calculate the prime factors of 59185 and 59204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59185 and 59204.

How to find the GCF of 59185 and 59204?

We will first find the prime factorization of 59185 and 59204. After we will calculate the factors of 59185 and 59204 and find the biggest common factor number .

Step-1: Prime Factorization of 59185

Prime factors of 59185 are 5, 7, 19, 89. Prime factorization of 59185 in exponential form is:

59185 = 5¹ × 7¹ × 19¹ × 89¹

Step-2: 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-3: Factors of 59185

List of positive integer factors of 59185 that divides 59185 without a remainder.

1, 5, 7, 19, 35, 89, 95, 133, 445, 623, 665, 1691, 3115, 8455, 11837

Step-4: Factors of 59204

List of positive integer factors of 59204 that divides 59185 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59185 and 59204. The biggest common factor number is the GCF number.
So the greatest common factor 59185 and 59204 is 19.

Also check out the Least Common Multiple of 59185 and 59204