What is the Greatest Common Factor of 17406 and 17422?

Greatest common factor (GCF) of 17406 and 17422 is 2.

GCF(17406,17422) = 2

We will now calculate the prime factors of 17406 and 17422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17406 and 17422.

How to find the GCF of 17406 and 17422?

We will first find the prime factorization of 17406 and 17422. After we will calculate the factors of 17406 and 17422 and find the biggest common factor number .

Step-1: Prime Factorization of 17406

Prime factors of 17406 are 2, 3, 967. Prime factorization of 17406 in exponential form is:

17406 = 2¹ × 3² × 967¹

Step-2: Prime Factorization of 17422

Prime factors of 17422 are 2, 31, 281. Prime factorization of 17422 in exponential form is:

17422 = 2¹ × 31¹ × 281¹

Step-3: Factors of 17406

List of positive integer factors of 17406 that divides 17406 without a remainder.

1, 2, 3, 6, 9, 18, 967, 1934, 2901, 5802, 8703

Step-4: Factors of 17422

List of positive integer factors of 17422 that divides 17406 without a remainder.

1, 2, 31, 62, 281, 562, 8711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17406 and 17422. The biggest common factor number is the GCF number.
So the greatest common factor 17406 and 17422 is 2.

Also check out the Least Common Multiple of 17406 and 17422