What is the Greatest Common Factor of 8359 and 8372?

Greatest common factor (GCF) of 8359 and 8372 is 13.

GCF(8359,8372) = 13

We will now calculate the prime factors of 8359 and 8372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8359 and 8372.

How to find the GCF of 8359 and 8372?

We will first find the prime factorization of 8359 and 8372. After we will calculate the factors of 8359 and 8372 and find the biggest common factor number .

Step-1: Prime Factorization of 8359

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

8359 = 13¹ × 643¹

Step-2: Prime Factorization of 8372

Prime factors of 8372 are 2, 7, 13, 23. Prime factorization of 8372 in exponential form is:

8372 = 2² × 7¹ × 13¹ × 23¹

Step-3: Factors of 8359

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

1, 13, 643

Step-4: Factors of 8372

List of positive integer factors of 8372 that divides 8359 without a remainder.

1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8359 and 8372. The biggest common factor number is the GCF number.
So the greatest common factor 8359 and 8372 is 13.

Also check out the Least Common Multiple of 8359 and 8372