What is the Greatest Common Factor of 19020 and 19029?

Greatest common factor (GCF) of 19020 and 19029 is 3.

GCF(19020,19029) = 3

We will now calculate the prime factors of 19020 and 19029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19020 and 19029.

How to find the GCF of 19020 and 19029?

We will first find the prime factorization of 19020 and 19029. After we will calculate the factors of 19020 and 19029 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 19029

Prime factors of 19029 are 3, 6343. Prime factorization of 19029 in exponential form is:

19029 = 3¹ × 6343¹

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 19029

List of positive integer factors of 19029 that divides 19020 without a remainder.

1, 3, 6343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19020 and 19029. The biggest common factor number is the GCF number.
So the greatest common factor 19020 and 19029 is 3.

Also check out the Least Common Multiple of 19020 and 19029