What is the Greatest Common Factor of 8331 and 8349?

Greatest common factor (GCF) of 8331 and 8349 is 3.

GCF(8331,8349) = 3

We will now calculate the prime factors of 8331 and 8349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8331 and 8349.

How to find the GCF of 8331 and 8349?

We will first find the prime factorization of 8331 and 8349. After we will calculate the factors of 8331 and 8349 and find the biggest common factor number .

Step-1: Prime Factorization of 8331

Prime factors of 8331 are 3, 2777. Prime factorization of 8331 in exponential form is:

8331 = 3¹ × 2777¹

Step-2: Prime Factorization of 8349

Prime factors of 8349 are 3, 11, 23. Prime factorization of 8349 in exponential form is:

8349 = 3¹ × 11² × 23¹

Step-3: Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1, 3, 2777

Step-4: Factors of 8349

List of positive integer factors of 8349 that divides 8331 without a remainder.

1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8331 and 8349. The biggest common factor number is the GCF number.
So the greatest common factor 8331 and 8349 is 3.

Also check out the Least Common Multiple of 8331 and 8349