What is the Greatest Common Factor of 8349 and 8358?

Greatest common factor (GCF) of 8349 and 8358 is 3.

GCF(8349,8358) = 3

We will now calculate the prime factors of 8349 and 8358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8349 and 8358.

How to find the GCF of 8349 and 8358?

We will first find the prime factorization of 8349 and 8358. After we will calculate the factors of 8349 and 8358 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 8358

Prime factors of 8358 are 2, 3, 7, 199. Prime factorization of 8358 in exponential form is:

8358 = 2¹ × 3¹ × 7¹ × 199¹

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 8358

List of positive integer factors of 8358 that divides 8349 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8349 and 8358. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8358 is 3.

Also check out the Least Common Multiple of 8349 and 8358