What is the Greatest Common Factor of 19302 and 19317?

Greatest common factor (GCF) of 19302 and 19317 is 3.

GCF(19302,19317) = 3

We will now calculate the prime factors of 19302 and 19317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19302 and 19317.

How to find the GCF of 19302 and 19317?

We will first find the prime factorization of 19302 and 19317. After we will calculate the factors of 19302 and 19317 and find the biggest common factor number .

Step-1: Prime Factorization of 19302

Prime factors of 19302 are 2, 3, 3217. Prime factorization of 19302 in exponential form is:

19302 = 2¹ × 3¹ × 3217¹

Step-2: Prime Factorization of 19317

Prime factors of 19317 are 3, 47, 137. Prime factorization of 19317 in exponential form is:

19317 = 3¹ × 47¹ × 137¹

Step-3: Factors of 19302

List of positive integer factors of 19302 that divides 19302 without a remainder.

1, 2, 3, 6, 3217, 6434, 9651

Step-4: Factors of 19317

List of positive integer factors of 19317 that divides 19302 without a remainder.

1, 3, 47, 137, 141, 411, 6439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19302 and 19317. The biggest common factor number is the GCF number.
So the greatest common factor 19302 and 19317 is 3.

Also check out the Least Common Multiple of 19302 and 19317