What is the Greatest Common Factor of 19593 and 19605?

Greatest common factor (GCF) of 19593 and 19605 is 3.

GCF(19593,19605) = 3

We will now calculate the prime factors of 19593 and 19605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19593 and 19605.

How to find the GCF of 19593 and 19605?

We will first find the prime factorization of 19593 and 19605. After we will calculate the factors of 19593 and 19605 and find the biggest common factor number .

Step-1: Prime Factorization of 19593

Prime factors of 19593 are 3, 7, 311. Prime factorization of 19593 in exponential form is:

19593 = 3² × 7¹ × 311¹

Step-2: Prime Factorization of 19605

Prime factors of 19605 are 3, 5, 1307. Prime factorization of 19605 in exponential form is:

19605 = 3¹ × 5¹ × 1307¹

Step-3: Factors of 19593

List of positive integer factors of 19593 that divides 19593 without a remainder.

1, 3, 7, 9, 21, 63, 311, 933, 2177, 2799, 6531

Step-4: Factors of 19605

List of positive integer factors of 19605 that divides 19593 without a remainder.

1, 3, 5, 15, 1307, 3921, 6535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19593 and 19605. The biggest common factor number is the GCF number.
So the greatest common factor 19593 and 19605 is 3.

Also check out the Least Common Multiple of 19593 and 19605