What is the Greatest Common Factor of 17466 and 17470?

Greatest common factor (GCF) of 17466 and 17470 is 2.

GCF(17466,17470) = 2

We will now calculate the prime factors of 17466 and 17470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17466 and 17470.

How to find the GCF of 17466 and 17470?

We will first find the prime factorization of 17466 and 17470. After we will calculate the factors of 17466 and 17470 and find the biggest common factor number .

Step-1: Prime Factorization of 17466

Prime factors of 17466 are 2, 3, 41, 71. Prime factorization of 17466 in exponential form is:

17466 = 2¹ × 3¹ × 41¹ × 71¹

Step-2: Prime Factorization of 17470

Prime factors of 17470 are 2, 5, 1747. Prime factorization of 17470 in exponential form is:

17470 = 2¹ × 5¹ × 1747¹

Step-3: Factors of 17466

List of positive integer factors of 17466 that divides 17466 without a remainder.

1, 2, 3, 6, 41, 71, 82, 123, 142, 213, 246, 426, 2911, 5822, 8733

Step-4: Factors of 17470

List of positive integer factors of 17470 that divides 17466 without a remainder.

1, 2, 5, 10, 1747, 3494, 8735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17466 and 17470. The biggest common factor number is the GCF number.
So the greatest common factor 17466 and 17470 is 2.

Also check out the Least Common Multiple of 17466 and 17470