What is the Greatest Common Factor of 19020 and 19024?

Greatest common factor (GCF) of 19020 and 19024 is 4.

GCF(19020,19024) = 4

We will now calculate the prime factors of 19020 and 19024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19020 and 19024.

How to find the GCF of 19020 and 19024?

We will first find the prime factorization of 19020 and 19024. After we will calculate the factors of 19020 and 19024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19024

Prime factors of 19024 are 2, 29, 41. Prime factorization of 19024 in exponential form is:

19024 = 2⁴ × 29¹ × 41¹

Step-3: Factors of 19020

List of positive integer factors of 19020 that divides 19020 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

Step-4: Factors of 19024

List of positive integer factors of 19024 that divides 19020 without a remainder.

1, 2, 4, 8, 16, 29, 41, 58, 82, 116, 164, 232, 328, 464, 656, 1189, 2378, 4756, 9512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19020 and 19024. The biggest common factor number is the GCF number.
So the greatest common factor 19020 and 19024 is 4.

Also check out the Least Common Multiple of 19020 and 19024