What is the Greatest Common Factor of 3404 and 3417?

Greatest common factor (GCF) of 3404 and 3417 is 1.

GCF(3404,3417) = 1

We will now calculate the prime factors of 3404 and 3417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3404 and 3417.

How to find the GCF of 3404 and 3417?

We will first find the prime factorization of 3404 and 3417. After we will calculate the factors of 3404 and 3417 and find the biggest common factor number .

Step-1: Prime Factorization of 3404

Prime factors of 3404 are 2, 23, 37. Prime factorization of 3404 in exponential form is:

3404 = 2² × 23¹ × 37¹

Step-2: Prime Factorization of 3417

Prime factors of 3417 are 3, 17, 67. Prime factorization of 3417 in exponential form is:

3417 = 3¹ × 17¹ × 67¹

Step-3: Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702

Step-4: Factors of 3417

List of positive integer factors of 3417 that divides 3404 without a remainder.

1, 3, 17, 51, 67, 201, 1139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3404 and 3417. The biggest common factor number is the GCF number.
So the greatest common factor 3404 and 3417 is 1.

Also check out the Least Common Multiple of 3404 and 3417