What is the Greatest Common Factor of 17466 and 17481?

Greatest common factor (GCF) of 17466 and 17481 is 3.

GCF(17466,17481) = 3

We will now calculate the prime factors of 17466 and 17481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17466 and 17481.

How to find the GCF of 17466 and 17481?

We will first find the prime factorization of 17466 and 17481. After we will calculate the factors of 17466 and 17481 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 17481

Prime factors of 17481 are 3, 5827. Prime factorization of 17481 in exponential form is:

17481 = 3¹ × 5827¹

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 17481

List of positive integer factors of 17481 that divides 17466 without a remainder.

1, 3, 5827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17466 and 17481. The biggest common factor number is the GCF number.
So the greatest common factor 17466 and 17481 is 3.

Also check out the Least Common Multiple of 17466 and 17481