What is the Greatest Common Factor of 17460 and 17478?

Greatest common factor (GCF) of 17460 and 17478 is 18.

GCF(17460,17478) = 18

We will now calculate the prime factors of 17460 and 17478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17460 and 17478.

How to find the GCF of 17460 and 17478?

We will first find the prime factorization of 17460 and 17478. After we will calculate the factors of 17460 and 17478 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 17478

Prime factors of 17478 are 2, 3, 971. Prime factorization of 17478 in exponential form is:

17478 = 2¹ × 3² × 971¹

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 17478

List of positive integer factors of 17478 that divides 17460 without a remainder.

1, 2, 3, 6, 9, 18, 971, 1942, 2913, 5826, 8739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17460 and 17478. The biggest common factor number is the GCF number.
So the greatest common factor 17460 and 17478 is 18.

Also check out the Least Common Multiple of 17460 and 17478