What is the Greatest Common Factor of 19524 and 19539?

Greatest common factor (GCF) of 19524 and 19539 is 3.

GCF(19524,19539) = 3

We will now calculate the prime factors of 19524 and 19539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19524 and 19539.

How to find the GCF of 19524 and 19539?

We will first find the prime factorization of 19524 and 19539. After we will calculate the factors of 19524 and 19539 and find the biggest common factor number .

Step-1: Prime Factorization of 19524

Prime factors of 19524 are 2, 3, 1627. Prime factorization of 19524 in exponential form is:

19524 = 2² × 3¹ × 1627¹

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 19524

List of positive integer factors of 19524 that divides 19524 without a remainder.

1, 2, 3, 4, 6, 12, 1627, 3254, 4881, 6508, 9762

Step-4: Factors of 19539

List of positive integer factors of 19539 that divides 19524 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 19524 and 19539. The biggest common factor number is the GCF number.
So the greatest common factor 19524 and 19539 is 3.

Also check out the Least Common Multiple of 19524 and 19539