What is the Greatest Common Factor of 19035 and 19044?

Greatest common factor (GCF) of 19035 and 19044 is 9.

GCF(19035,19044) = 9

We will now calculate the prime factors of 19035 and 19044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19035 and 19044.

How to find the GCF of 19035 and 19044?

We will first find the prime factorization of 19035 and 19044. After we will calculate the factors of 19035 and 19044 and find the biggest common factor number .

Step-1: 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-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 19035

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

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

Step-4: Factors of 19044

List of positive integer factors of 19044 that divides 19035 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 19035 and 19044. The biggest common factor number is the GCF number.
So the greatest common factor 19035 and 19044 is 9.

Also check out the Least Common Multiple of 19035 and 19044