What is the Greatest Common Factor of 17460 and 17466?

Greatest common factor (GCF) of 17460 and 17466 is 6.

GCF(17460,17466) = 6

We will now calculate the prime factors of 17460 and 17466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17460 and 17466.

How to find the GCF of 17460 and 17466?

We will first find the prime factorization of 17460 and 17466. After we will calculate the factors of 17460 and 17466 and find the biggest common factor number .

Step-1: Prime Factorization of 17460

Prime factors of 17460 are 2, 3, 5, 97. Prime factorization of 17460 in exponential form is:

17460 = 2² × 3² × 5¹ × 97¹

Step-2: 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-3: Factors of 17460

List of positive integer factors of 17460 that divides 17460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 97, 180, 194, 291, 388, 485, 582, 873, 970, 1164, 1455, 1746, 1940, 2910, 3492, 4365, 5820, 8730

Step-4: Factors of 17466

List of positive integer factors of 17466 that divides 17460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17460 and 17466. The biggest common factor number is the GCF number.
So the greatest common factor 17460 and 17466 is 6.

Also check out the Least Common Multiple of 17460 and 17466