What is the Greatest Common Factor of 19004 and 19013?

Greatest common factor (GCF) of 19004 and 19013 is 1.

GCF(19004,19013) = 1

We will now calculate the prime factors of 19004 and 19013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19004 and 19013.

How to find the GCF of 19004 and 19013?

We will first find the prime factorization of 19004 and 19013. After we will calculate the factors of 19004 and 19013 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 19013

Prime factors of 19013 are 19013. Prime factorization of 19013 in exponential form is:

19013 = 19013¹

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 19013

List of positive integer factors of 19013 that divides 19004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19004 and 19013. The biggest common factor number is the GCF number.
So the greatest common factor 19004 and 19013 is 1.

Also check out the Least Common Multiple of 19004 and 19013