What is the Greatest Common Factor of 93345 and 93359?

Greatest common factor (GCF) of 93345 and 93359 is 7.

GCF(93345,93359) = 7

We will now calculate the prime factors of 93345 and 93359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93345 and 93359.

How to find the GCF of 93345 and 93359?

We will first find the prime factorization of 93345 and 93359. After we will calculate the factors of 93345 and 93359 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93359

Prime factors of 93359 are 7, 13337. Prime factorization of 93359 in exponential form is:

93359 = 7¹ × 13337¹

Step-3: Factors of 93345

List of positive integer factors of 93345 that divides 93345 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

Step-4: Factors of 93359

List of positive integer factors of 93359 that divides 93345 without a remainder.

1, 7, 13337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93345 and 93359. The biggest common factor number is the GCF number.
So the greatest common factor 93345 and 93359 is 7.

Also check out the Least Common Multiple of 93345 and 93359