What is the Greatest Common Factor of 19006 and 19023?

Greatest common factor (GCF) of 19006 and 19023 is 17.

GCF(19006,19023) = 17

We will now calculate the prime factors of 19006 and 19023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19006 and 19023.

How to find the GCF of 19006 and 19023?

We will first find the prime factorization of 19006 and 19023. After we will calculate the factors of 19006 and 19023 and find the biggest common factor number .

Step-1: Prime Factorization of 19006

Prime factors of 19006 are 2, 13, 17, 43. Prime factorization of 19006 in exponential form is:

19006 = 2¹ × 13¹ × 17¹ × 43¹

Step-2: Prime Factorization of 19023

Prime factors of 19023 are 3, 17, 373. Prime factorization of 19023 in exponential form is:

19023 = 3¹ × 17¹ × 373¹

Step-3: Factors of 19006

List of positive integer factors of 19006 that divides 19006 without a remainder.

1, 2, 13, 17, 26, 34, 43, 86, 221, 442, 559, 731, 1118, 1462, 9503

Step-4: Factors of 19023

List of positive integer factors of 19023 that divides 19006 without a remainder.

1, 3, 17, 51, 373, 1119, 6341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19006 and 19023. The biggest common factor number is the GCF number.
So the greatest common factor 19006 and 19023 is 17.

Also check out the Least Common Multiple of 19006 and 19023