What is the Greatest Common Factor of 58604 and 58617?

Greatest common factor (GCF) of 58604 and 58617 is 13.

GCF(58604,58617) = 13

We will now calculate the prime factors of 58604 and 58617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58604 and 58617.

How to find the GCF of 58604 and 58617?

We will first find the prime factorization of 58604 and 58617. After we will calculate the factors of 58604 and 58617 and find the biggest common factor number .

Step-1: Prime Factorization of 58604

Prime factors of 58604 are 2, 7, 13, 23. Prime factorization of 58604 in exponential form is:

58604 = 2² × 7² × 13¹ × 23¹

Step-2: Prime Factorization of 58617

Prime factors of 58617 are 3, 13, 167. Prime factorization of 58617 in exponential form is:

58617 = 3³ × 13¹ × 167¹

Step-3: Factors of 58604

List of positive integer factors of 58604 that divides 58604 without a remainder.

1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 49, 52, 91, 92, 98, 161, 182, 196, 299, 322, 364, 598, 637, 644, 1127, 1196, 1274, 2093, 2254, 2548, 4186, 4508, 8372, 14651, 29302

Step-4: Factors of 58617

List of positive integer factors of 58617 that divides 58604 without a remainder.

1, 3, 9, 13, 27, 39, 117, 167, 351, 501, 1503, 2171, 4509, 6513, 19539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58604 and 58617. The biggest common factor number is the GCF number.
So the greatest common factor 58604 and 58617 is 13.

Also check out the Least Common Multiple of 58604 and 58617