What is the Greatest Common Factor of 8349 and 8360?

Greatest common factor (GCF) of 8349 and 8360 is 11.

GCF(8349,8360) = 11

We will now calculate the prime factors of 8349 and 8360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8349 and 8360.

How to find the GCF of 8349 and 8360?

We will first find the prime factorization of 8349 and 8360. After we will calculate the factors of 8349 and 8360 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 8360

Prime factors of 8360 are 2, 5, 11, 19. Prime factorization of 8360 in exponential form is:

8360 = 2³ × 5¹ × 11¹ × 19¹

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 8360

List of positive integer factors of 8360 that divides 8349 without a remainder.

1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8349 and 8360. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8360 is 11.

Also check out the Least Common Multiple of 8349 and 8360