What is the Greatest Common Factor of 93331 and 93345?

Greatest common factor (GCF) of 93331 and 93345 is 7.

GCF(93331,93345) = 7

We will now calculate the prime factors of 93331 and 93345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93331 and 93345.

How to find the GCF of 93331 and 93345?

We will first find the prime factorization of 93331 and 93345. After we will calculate the factors of 93331 and 93345 and find the biggest common factor number .

Step-1: Prime Factorization of 93331

Prime factors of 93331 are 7, 67, 199. Prime factorization of 93331 in exponential form is:

93331 = 7¹ × 67¹ × 199¹

Step-2: Prime Factorization of 93345

Prime factors of 93345 are 3, 5, 7, 127. Prime factorization of 93345 in exponential form is:

93345 = 3¹ × 5¹ × 7² × 127¹

Step-3: Factors of 93331

List of positive integer factors of 93331 that divides 93331 without a remainder.

1, 7, 67, 199, 469, 1393, 13333

Step-4: Factors of 93345

List of positive integer factors of 93345 that divides 93331 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 127, 147, 245, 381, 635, 735, 889, 1905, 2667, 4445, 6223, 13335, 18669, 31115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93331 and 93345. The biggest common factor number is the GCF number.
So the greatest common factor 93331 and 93345 is 7.

Also check out the Least Common Multiple of 93331 and 93345