What is the Greatest Common Factor of 19035 and 19047?

Greatest common factor (GCF) of 19035 and 19047 is 3.

GCF(19035,19047) = 3

We will now calculate the prime factors of 19035 and 19047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19035 and 19047.

How to find the GCF of 19035 and 19047?

We will first find the prime factorization of 19035 and 19047. After we will calculate the factors of 19035 and 19047 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 19047

Prime factors of 19047 are 3, 7, 907. Prime factorization of 19047 in exponential form is:

19047 = 3¹ × 7¹ × 907¹

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 19047

List of positive integer factors of 19047 that divides 19035 without a remainder.

1, 3, 7, 21, 907, 2721, 6349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19035 and 19047. The biggest common factor number is the GCF number.
So the greatest common factor 19035 and 19047 is 3.

Also check out the Least Common Multiple of 19035 and 19047