What is the Greatest Common Factor of 19029 and 19035?

Greatest common factor (GCF) of 19029 and 19035 is 3.

GCF(19029,19035) = 3

We will now calculate the prime factors of 19029 and 19035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19029 and 19035.

How to find the GCF of 19029 and 19035?

We will first find the prime factorization of 19029 and 19035. After we will calculate the factors of 19029 and 19035 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 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 19029

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

1, 3, 6343

Step-4: Factors of 19035

List of positive integer factors of 19035 that divides 19029 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 19029 and 19035. The biggest common factor number is the GCF number.
So the greatest common factor 19029 and 19035 is 3.

Also check out the Least Common Multiple of 19029 and 19035