What is the Greatest Common Factor of 59204 and 59214?

Greatest common factor (GCF) of 59204 and 59214 is 2.

GCF(59204,59214) = 2

We will now calculate the prime factors of 59204 and 59214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59204 and 59214.

How to find the GCF of 59204 and 59214?

We will first find the prime factorization of 59204 and 59214. After we will calculate the factors of 59204 and 59214 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 59214

Prime factors of 59214 are 2, 3, 71, 139. Prime factorization of 59214 in exponential form is:

59214 = 2¹ × 3¹ × 71¹ × 139¹

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 59214

List of positive integer factors of 59214 that divides 59204 without a remainder.

1, 2, 3, 6, 71, 139, 142, 213, 278, 417, 426, 834, 9869, 19738, 29607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59204 and 59214. The biggest common factor number is the GCF number.
So the greatest common factor 59204 and 59214 is 2.

Also check out the Least Common Multiple of 59204 and 59214