What is the Greatest Common Factor of 58058 and 58069?

Greatest common factor (GCF) of 58058 and 58069 is 11.

GCF(58058,58069) = 11

We will now calculate the prime factors of 58058 and 58069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58058 and 58069.

How to find the GCF of 58058 and 58069?

We will first find the prime factorization of 58058 and 58069. After we will calculate the factors of 58058 and 58069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58069

Prime factors of 58069 are 11, 5279. Prime factorization of 58069 in exponential form is:

58069 = 11¹ × 5279¹

Step-3: Factors of 58058

List of positive integer factors of 58058 that divides 58058 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

Step-4: Factors of 58069

List of positive integer factors of 58069 that divides 58058 without a remainder.

1, 11, 5279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58058 and 58069. The biggest common factor number is the GCF number.
So the greatest common factor 58058 and 58069 is 11.

Also check out the Least Common Multiple of 58058 and 58069