What is the Greatest Common Factor of 58058 and 58064?

Greatest common factor (GCF) of 58058 and 58064 is 2.

GCF(58058,58064) = 2

We will now calculate the prime factors of 58058 and 58064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58058 and 58064.

How to find the GCF of 58058 and 58064?

We will first find the prime factorization of 58058 and 58064. After we will calculate the factors of 58058 and 58064 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 58064

Prime factors of 58064 are 2, 19, 191. Prime factorization of 58064 in exponential form is:

58064 = 2⁴ × 19¹ × 191¹

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 58064

List of positive integer factors of 58064 that divides 58058 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 191, 304, 382, 764, 1528, 3056, 3629, 7258, 14516, 29032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58058 and 58064. The biggest common factor number is the GCF number.
So the greatest common factor 58058 and 58064 is 2.

Also check out the Least Common Multiple of 58058 and 58064