What is the Greatest Common Factor of 19020 and 19035?

Greatest common factor (GCF) of 19020 and 19035 is 15.

GCF(19020,19035) = 15

We will now calculate the prime factors of 19020 and 19035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19020 and 19035.

How to find the GCF of 19020 and 19035?

We will first find the prime factorization of 19020 and 19035. After we will calculate the factors of 19020 and 19035 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 19035

Prime factors of 19035 are 3, 5, 47. Prime factorization of 19035 in exponential form is:

19035 = 3⁴ × 5¹ × 47¹

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 19035

List of positive integer factors of 19035 that divides 19020 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 81, 135, 141, 235, 405, 423, 705, 1269, 2115, 3807, 6345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19020 and 19035. The biggest common factor number is the GCF number.
So the greatest common factor 19020 and 19035 is 15.

Also check out the Least Common Multiple of 19020 and 19035