What is the Greatest Common Factor of 17460 and 17473?

Greatest common factor (GCF) of 17460 and 17473 is 1.

GCF(17460,17473) = 1

We will now calculate the prime factors of 17460 and 17473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17460 and 17473.

How to find the GCF of 17460 and 17473?

We will first find the prime factorization of 17460 and 17473. After we will calculate the factors of 17460 and 17473 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 17473

Prime factors of 17473 are 101, 173. Prime factorization of 17473 in exponential form is:

17473 = 101¹ × 173¹

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 17473

List of positive integer factors of 17473 that divides 17460 without a remainder.

1, 101, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17460 and 17473. The biggest common factor number is the GCF number.
So the greatest common factor 17460 and 17473 is 1.

Also check out the Least Common Multiple of 17460 and 17473