What is the Greatest Common Factor of 17454 and 17460?

Greatest common factor (GCF) of 17454 and 17460 is 6.

GCF(17454,17460) = 6

We will now calculate the prime factors of 17454 and 17460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17454 and 17460.

How to find the GCF of 17454 and 17460?

We will first find the prime factorization of 17454 and 17460. After we will calculate the factors of 17454 and 17460 and find the biggest common factor number .

Step-1: Prime Factorization of 17454

Prime factors of 17454 are 2, 3, 2909. Prime factorization of 17454 in exponential form is:

17454 = 2¹ × 3¹ × 2909¹

Step-2: 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-3: Factors of 17454

List of positive integer factors of 17454 that divides 17454 without a remainder.

1, 2, 3, 6, 2909, 5818, 8727

Step-4: Factors of 17460

List of positive integer factors of 17460 that divides 17454 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17454 and 17460. The biggest common factor number is the GCF number.
So the greatest common factor 17454 and 17460 is 6.

Also check out the Least Common Multiple of 17454 and 17460