What is the Greatest Common Factor of 17408 and 17418?

Greatest common factor (GCF) of 17408 and 17418 is 2.

GCF(17408,17418) = 2

We will now calculate the prime factors of 17408 and 17418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17408 and 17418.

How to find the GCF of 17408 and 17418?

We will first find the prime factorization of 17408 and 17418. After we will calculate the factors of 17408 and 17418 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 17418

Prime factors of 17418 are 2, 3, 2903. Prime factorization of 17418 in exponential form is:

17418 = 2¹ × 3¹ × 2903¹

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 17418

List of positive integer factors of 17418 that divides 17408 without a remainder.

1, 2, 3, 6, 2903, 5806, 8709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17408 and 17418. The biggest common factor number is the GCF number.
So the greatest common factor 17408 and 17418 is 2.

Also check out the Least Common Multiple of 17408 and 17418