What is the Greatest Common Factor of 58317 and 58326?

Greatest common factor (GCF) of 58317 and 58326 is 3.

GCF(58317,58326) = 3

We will now calculate the prime factors of 58317 and 58326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58317 and 58326.

How to find the GCF of 58317 and 58326?

We will first find the prime factorization of 58317 and 58326. After we will calculate the factors of 58317 and 58326 and find the biggest common factor number .

Step-1: Prime Factorization of 58317

Prime factors of 58317 are 3, 7, 2777. Prime factorization of 58317 in exponential form is:

58317 = 3¹ × 7¹ × 2777¹

Step-2: Prime Factorization of 58326

Prime factors of 58326 are 2, 3, 9721. Prime factorization of 58326 in exponential form is:

58326 = 2¹ × 3¹ × 9721¹

Step-3: Factors of 58317

List of positive integer factors of 58317 that divides 58317 without a remainder.

1, 3, 7, 21, 2777, 8331, 19439

Step-4: Factors of 58326

List of positive integer factors of 58326 that divides 58317 without a remainder.

1, 2, 3, 6, 9721, 19442, 29163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58317 and 58326. The biggest common factor number is the GCF number.
So the greatest common factor 58317 and 58326 is 3.

Also check out the Least Common Multiple of 58317 and 58326