What is the Greatest Common Factor of 17408 and 17417?

Greatest common factor (GCF) of 17408 and 17417 is 1.

GCF(17408,17417) = 1

We will now calculate the prime factors of 17408 and 17417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17408 and 17417.

How to find the GCF of 17408 and 17417?

We will first find the prime factorization of 17408 and 17417. After we will calculate the factors of 17408 and 17417 and find the biggest common factor number .

Step-1: Prime Factorization of 17408

Prime factors of 17408 are 2, 17. Prime factorization of 17408 in exponential form is:

17408 = 2¹⁰ × 17¹

Step-2: Prime Factorization of 17417

Prime factors of 17417 are 17417. Prime factorization of 17417 in exponential form is:

17417 = 17417¹

Step-3: Factors of 17408

List of positive integer factors of 17408 that divides 17408 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1024, 1088, 2176, 4352, 8704

Step-4: Factors of 17417

List of positive integer factors of 17417 that divides 17408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17408 and 17417. The biggest common factor number is the GCF number.
So the greatest common factor 17408 and 17417 is 1.

Also check out the Least Common Multiple of 17408 and 17417