What is the Greatest Common Factor of 19494 and 19509?

Greatest common factor (GCF) of 19494 and 19509 is 3.

GCF(19494,19509) = 3

We will now calculate the prime factors of 19494 and 19509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19494 and 19509.

How to find the GCF of 19494 and 19509?

We will first find the prime factorization of 19494 and 19509. After we will calculate the factors of 19494 and 19509 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 19509

Prime factors of 19509 are 3, 7, 929. Prime factorization of 19509 in exponential form is:

19509 = 3¹ × 7¹ × 929¹

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 19509

List of positive integer factors of 19509 that divides 19494 without a remainder.

1, 3, 7, 21, 929, 2787, 6503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19494 and 19509. The biggest common factor number is the GCF number.
So the greatest common factor 19494 and 19509 is 3.

Also check out the Least Common Multiple of 19494 and 19509