What is the Greatest Common Factor of 19029 and 19044?

Greatest common factor (GCF) of 19029 and 19044 is 3.

GCF(19029,19044) = 3

We will now calculate the prime factors of 19029 and 19044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19029 and 19044.

How to find the GCF of 19029 and 19044?

We will first find the prime factorization of 19029 and 19044. After we will calculate the factors of 19029 and 19044 and find the biggest common factor number .

Step-1: Prime Factorization of 19029

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

19029 = 3¹ × 6343¹

Step-2: Prime Factorization of 19044

Prime factors of 19044 are 2, 3, 23. Prime factorization of 19044 in exponential form is:

19044 = 2² × 3² × 23²

Step-3: Factors of 19029

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

1, 3, 6343

Step-4: Factors of 19044

List of positive integer factors of 19044 that divides 19029 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 529, 828, 1058, 1587, 2116, 3174, 4761, 6348, 9522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19029 and 19044. The biggest common factor number is the GCF number.
So the greatest common factor 19029 and 19044 is 3.

Also check out the Least Common Multiple of 19029 and 19044