What is the Greatest Common Factor of 19593 and 19607?

Greatest common factor (GCF) of 19593 and 19607 is 7.

GCF(19593,19607) = 7

We will now calculate the prime factors of 19593 and 19607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19593 and 19607.

How to find the GCF of 19593 and 19607?

We will first find the prime factorization of 19593 and 19607. After we will calculate the factors of 19593 and 19607 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 19607

Prime factors of 19607 are 7, 2801. Prime factorization of 19607 in exponential form is:

19607 = 7¹ × 2801¹

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 19607

List of positive integer factors of 19607 that divides 19593 without a remainder.

1, 7, 2801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19593 and 19607. The biggest common factor number is the GCF number.
So the greatest common factor 19593 and 19607 is 7.

Also check out the Least Common Multiple of 19593 and 19607