What is the Greatest Common Factor of 8404 and 8411?

Greatest common factor (GCF) of 8404 and 8411 is 1.

GCF(8404,8411) = 1

We will now calculate the prime factors of 8404 and 8411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8404 and 8411.

How to find the GCF of 8404 and 8411?

We will first find the prime factorization of 8404 and 8411. After we will calculate the factors of 8404 and 8411 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8411

Prime factors of 8411 are 13, 647. Prime factorization of 8411 in exponential form is:

8411 = 13¹ × 647¹

Step-3: Factors of 8404

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

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

Step-4: Factors of 8411

List of positive integer factors of 8411 that divides 8404 without a remainder.

1, 13, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8404 and 8411. The biggest common factor number is the GCF number.
So the greatest common factor 8404 and 8411 is 1.

Also check out the Least Common Multiple of 8404 and 8411