What is the Greatest Common Factor of 19004 and 19020?

Greatest common factor (GCF) of 19004 and 19020 is 4.

GCF(19004,19020) = 4

We will now calculate the prime factors of 19004 and 19020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19004 and 19020.

How to find the GCF of 19004 and 19020?

We will first find the prime factorization of 19004 and 19020. After we will calculate the factors of 19004 and 19020 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 19020

Prime factors of 19020 are 2, 3, 5, 317. Prime factorization of 19020 in exponential form is:

19020 = 2² × 3¹ × 5¹ × 317¹

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 19020

List of positive integer factors of 19020 that divides 19004 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 317, 634, 951, 1268, 1585, 1902, 3170, 3804, 4755, 6340, 9510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19004 and 19020. The biggest common factor number is the GCF number.
So the greatest common factor 19004 and 19020 is 4.

Also check out the Least Common Multiple of 19004 and 19020