What is the Greatest Common Factor of 8349 and 8355?

Greatest common factor (GCF) of 8349 and 8355 is 3.

GCF(8349,8355) = 3

We will now calculate the prime factors of 8349 and 8355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8349 and 8355.

How to find the GCF of 8349 and 8355?

We will first find the prime factorization of 8349 and 8355. After we will calculate the factors of 8349 and 8355 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8355

Prime factors of 8355 are 3, 5, 557. Prime factorization of 8355 in exponential form is:

8355 = 3¹ × 5¹ × 557¹

Step-3: Factors of 8349

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

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

Step-4: Factors of 8355

List of positive integer factors of 8355 that divides 8349 without a remainder.

1, 3, 5, 15, 557, 1671, 2785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8349 and 8355. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8355 is 3.

Also check out the Least Common Multiple of 8349 and 8355