What is the Greatest Common Factor of 8349 and 8366?

Greatest common factor (GCF) of 8349 and 8366 is 1.

GCF(8349,8366) = 1

We will now calculate the prime factors of 8349 and 8366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8349 and 8366.

How to find the GCF of 8349 and 8366?

We will first find the prime factorization of 8349 and 8366. After we will calculate the factors of 8349 and 8366 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 8366

Prime factors of 8366 are 2, 47, 89. Prime factorization of 8366 in exponential form is:

8366 = 2¹ × 47¹ × 89¹

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 8366

List of positive integer factors of 8366 that divides 8349 without a remainder.

1, 2, 47, 89, 94, 178, 4183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8349 and 8366. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8366 is 1.

Also check out the Least Common Multiple of 8349 and 8366