What is the Greatest Common Factor of 8393 and 8404?

Greatest common factor (GCF) of 8393 and 8404 is 11.

GCF(8393,8404) = 11

We will now calculate the prime factors of 8393 and 8404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8393 and 8404.

How to find the GCF of 8393 and 8404?

We will first find the prime factorization of 8393 and 8404. After we will calculate the factors of 8393 and 8404 and find the biggest common factor number .

Step-1: Prime Factorization of 8393

Prime factors of 8393 are 7, 11, 109. Prime factorization of 8393 in exponential form is:

8393 = 7¹ × 11¹ × 109¹

Step-2: Prime Factorization of 8404

Prime factors of 8404 are 2, 11, 191. Prime factorization of 8404 in exponential form is:

8404 = 2² × 11¹ × 191¹

Step-3: Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1, 7, 11, 77, 109, 763, 1199

Step-4: Factors of 8404

List of positive integer factors of 8404 that divides 8393 without a remainder.

1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8393 and 8404. The biggest common factor number is the GCF number.
So the greatest common factor 8393 and 8404 is 11.

Also check out the Least Common Multiple of 8393 and 8404