What is the Greatest Common Factor of 19533 and 19539?

Greatest common factor (GCF) of 19533 and 19539 is 3.

GCF(19533,19539) = 3

We will now calculate the prime factors of 19533 and 19539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19533 and 19539.

How to find the GCF of 19533 and 19539?

We will first find the prime factorization of 19533 and 19539. After we will calculate the factors of 19533 and 19539 and find the biggest common factor number .

Step-1: Prime Factorization of 19533

Prime factors of 19533 are 3, 17, 383. Prime factorization of 19533 in exponential form is:

19533 = 3¹ × 17¹ × 383¹

Step-2: Prime Factorization of 19539

Prime factors of 19539 are 3, 13, 167. Prime factorization of 19539 in exponential form is:

19539 = 3² × 13¹ × 167¹

Step-3: Factors of 19533

List of positive integer factors of 19533 that divides 19533 without a remainder.

1, 3, 17, 51, 383, 1149, 6511

Step-4: Factors of 19539

List of positive integer factors of 19539 that divides 19533 without a remainder.

1, 3, 9, 13, 39, 117, 167, 501, 1503, 2171, 6513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19533 and 19539. The biggest common factor number is the GCF number.
So the greatest common factor 19533 and 19539 is 3.

Also check out the Least Common Multiple of 19533 and 19539