What is the Greatest Common Factor of 19494 and 19503?

Greatest common factor (GCF) of 19494 and 19503 is 9.

GCF(19494,19503) = 9

We will now calculate the prime factors of 19494 and 19503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19494 and 19503.

How to find the GCF of 19494 and 19503?

We will first find the prime factorization of 19494 and 19503. After we will calculate the factors of 19494 and 19503 and find the biggest common factor number .

Step-1: Prime Factorization of 19494

Prime factors of 19494 are 2, 3, 19. Prime factorization of 19494 in exponential form is:

19494 = 2¹ × 3³ × 19²

Step-2: 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-3: Factors of 19494

List of positive integer factors of 19494 that divides 19494 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 361, 513, 722, 1026, 1083, 2166, 3249, 6498, 9747

Step-4: Factors of 19503

List of positive integer factors of 19503 that divides 19494 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19494 and 19503. The biggest common factor number is the GCF number.
So the greatest common factor 19494 and 19503 is 9.

Also check out the Least Common Multiple of 19494 and 19503