What is the Greatest Common Factor of 58170 and 58190?

Greatest common factor (GCF) of 58170 and 58190 is 10.

GCF(58170,58190) = 10

We will now calculate the prime factors of 58170 and 58190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58170 and 58190.

How to find the GCF of 58170 and 58190?

We will first find the prime factorization of 58170 and 58190. After we will calculate the factors of 58170 and 58190 and find the biggest common factor number .

Step-1: Prime Factorization of 58170

Prime factors of 58170 are 2, 3, 5, 7, 277. Prime factorization of 58170 in exponential form is:

58170 = 2¹ × 3¹ × 5¹ × 7¹ × 277¹

Step-2: Prime Factorization of 58190

Prime factors of 58190 are 2, 5, 11, 23. Prime factorization of 58190 in exponential form is:

58190 = 2¹ × 5¹ × 11¹ × 23²

Step-3: Factors of 58170

List of positive integer factors of 58170 that divides 58170 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 277, 554, 831, 1385, 1662, 1939, 2770, 3878, 4155, 5817, 8310, 9695, 11634, 19390, 29085

Step-4: Factors of 58190

List of positive integer factors of 58190 that divides 58170 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 529, 1058, 1265, 2530, 2645, 5290, 5819, 11638, 29095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58170 and 58190. The biggest common factor number is the GCF number.
So the greatest common factor 58170 and 58190 is 10.

Also check out the Least Common Multiple of 58170 and 58190