What is the Greatest Common Factor of 19058 and 19071?

Greatest common factor (GCF) of 19058 and 19071 is 13.

GCF(19058,19071) = 13

We will now calculate the prime factors of 19058 and 19071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19058 and 19071.

How to find the GCF of 19058 and 19071?

We will first find the prime factorization of 19058 and 19071. After we will calculate the factors of 19058 and 19071 and find the biggest common factor number .

Step-1: Prime Factorization of 19058

Prime factors of 19058 are 2, 13, 733. Prime factorization of 19058 in exponential form is:

19058 = 2¹ × 13¹ × 733¹

Step-2: Prime Factorization of 19071

Prime factors of 19071 are 3, 13, 163. Prime factorization of 19071 in exponential form is:

19071 = 3² × 13¹ × 163¹

Step-3: Factors of 19058

List of positive integer factors of 19058 that divides 19058 without a remainder.

1, 2, 13, 26, 733, 1466, 9529

Step-4: Factors of 19071

List of positive integer factors of 19071 that divides 19058 without a remainder.

1, 3, 9, 13, 39, 117, 163, 489, 1467, 2119, 6357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19058 and 19071. The biggest common factor number is the GCF number.
So the greatest common factor 19058 and 19071 is 13.

Also check out the Least Common Multiple of 19058 and 19071