What is the Greatest Common Factor of 19004 and 19023?

Greatest common factor (GCF) of 19004 and 19023 is 1.

GCF(19004,19023) = 1

We will now calculate the prime factors of 19004 and 19023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19004 and 19023.

How to find the GCF of 19004 and 19023?

We will first find the prime factorization of 19004 and 19023. After we will calculate the factors of 19004 and 19023 and find the biggest common factor number .

Step-1: Prime Factorization of 19004

Prime factors of 19004 are 2, 4751. Prime factorization of 19004 in exponential form is:

19004 = 2² × 4751¹

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 19004

List of positive integer factors of 19004 that divides 19004 without a remainder.

1, 2, 4, 4751, 9502

Step-4: Factors of 19023

List of positive integer factors of 19023 that divides 19004 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19004 and 19023. The biggest common factor number is the GCF number.
So the greatest common factor 19004 and 19023 is 1.

Also check out the Least Common Multiple of 19004 and 19023