What is the Greatest Common Factor of 19065 and 19071?

Greatest common factor (GCF) of 19065 and 19071 is 3.

GCF(19065,19071) = 3

We will now calculate the prime factors of 19065 and 19071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19065 and 19071.

How to find the GCF of 19065 and 19071?

We will first find the prime factorization of 19065 and 19071. After we will calculate the factors of 19065 and 19071 and find the biggest common factor number .

Step-1: Prime Factorization of 19065

Prime factors of 19065 are 3, 5, 31, 41. Prime factorization of 19065 in exponential form is:

19065 = 3¹ × 5¹ × 31¹ × 41¹

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 19065

List of positive integer factors of 19065 that divides 19065 without a remainder.

1, 3, 5, 15, 31, 41, 93, 123, 155, 205, 465, 615, 1271, 3813, 6355

Step-4: Factors of 19071

List of positive integer factors of 19071 that divides 19065 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 19065 and 19071. The biggest common factor number is the GCF number.
So the greatest common factor 19065 and 19071 is 3.

Also check out the Least Common Multiple of 19065 and 19071