What is the Greatest Common Factor of 19503 and 19521?

Greatest common factor (GCF) of 19503 and 19521 is 9.

GCF(19503,19521) = 9

We will now calculate the prime factors of 19503 and 19521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19503 and 19521.

How to find the GCF of 19503 and 19521?

We will first find the prime factorization of 19503 and 19521. After we will calculate the factors of 19503 and 19521 and find the biggest common factor number .

Step-1: Prime Factorization of 19503

Prime factors of 19503 are 3, 11, 197. Prime factorization of 19503 in exponential form is:

19503 = 3² × 11¹ × 197¹

Step-2: Prime Factorization of 19521

Prime factors of 19521 are 3, 241. Prime factorization of 19521 in exponential form is:

19521 = 3⁴ × 241¹

Step-3: Factors of 19503

List of positive integer factors of 19503 that divides 19503 without a remainder.

1, 3, 9, 11, 33, 99, 197, 591, 1773, 2167, 6501

Step-4: Factors of 19521

List of positive integer factors of 19521 that divides 19503 without a remainder.

1, 3, 9, 27, 81, 241, 723, 2169, 6507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19503 and 19521. The biggest common factor number is the GCF number.
So the greatest common factor 19503 and 19521 is 9.

Also check out the Least Common Multiple of 19503 and 19521