What is the Greatest Common Factor of 8346 and 8359?

Greatest common factor (GCF) of 8346 and 8359 is 13.

GCF(8346,8359) = 13

We will now calculate the prime factors of 8346 and 8359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8346 and 8359.

How to find the GCF of 8346 and 8359?

We will first find the prime factorization of 8346 and 8359. After we will calculate the factors of 8346 and 8359 and find the biggest common factor number .

Step-1: Prime Factorization of 8346

Prime factors of 8346 are 2, 3, 13, 107. Prime factorization of 8346 in exponential form is:

8346 = 2¹ × 3¹ × 13¹ × 107¹

Step-2: Prime Factorization of 8359

Prime factors of 8359 are 13, 643. Prime factorization of 8359 in exponential form is:

8359 = 13¹ × 643¹

Step-3: Factors of 8346

List of positive integer factors of 8346 that divides 8346 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173

Step-4: Factors of 8359

List of positive integer factors of 8359 that divides 8346 without a remainder.

1, 13, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8346 and 8359. The biggest common factor number is the GCF number.
So the greatest common factor 8346 and 8359 is 13.

Also check out the Least Common Multiple of 8346 and 8359