What is the Greatest Common Factor of 58045 and 58058?

Greatest common factor (GCF) of 58045 and 58058 is 13.

GCF(58045,58058) = 13

We will now calculate the prime factors of 58045 and 58058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58045 and 58058.

How to find the GCF of 58045 and 58058?

We will first find the prime factorization of 58045 and 58058. After we will calculate the factors of 58045 and 58058 and find the biggest common factor number .

Step-1: Prime Factorization of 58045

Prime factors of 58045 are 5, 13, 19, 47. Prime factorization of 58045 in exponential form is:

58045 = 5¹ × 13¹ × 19¹ × 47¹

Step-2: Prime Factorization of 58058

Prime factors of 58058 are 2, 7, 11, 13, 29. Prime factorization of 58058 in exponential form is:

58058 = 2¹ × 7¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 58045

List of positive integer factors of 58045 that divides 58045 without a remainder.

1, 5, 13, 19, 47, 65, 95, 235, 247, 611, 893, 1235, 3055, 4465, 11609

Step-4: Factors of 58058

List of positive integer factors of 58058 that divides 58045 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 29, 58, 77, 91, 143, 154, 182, 203, 286, 319, 377, 406, 638, 754, 1001, 2002, 2233, 2639, 4147, 4466, 5278, 8294, 29029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58045 and 58058. The biggest common factor number is the GCF number.
So the greatest common factor 58045 and 58058 is 13.

Also check out the Least Common Multiple of 58045 and 58058