What is the Greatest Common Factor of 17442 and 17460?

Greatest common factor (GCF) of 17442 and 17460 is 18.

GCF(17442,17460) = 18

We will now calculate the prime factors of 17442 and 17460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17442 and 17460.

How to find the GCF of 17442 and 17460?

We will first find the prime factorization of 17442 and 17460. After we will calculate the factors of 17442 and 17460 and find the biggest common factor number .

Step-1: Prime Factorization of 17442

Prime factors of 17442 are 2, 3, 17, 19. Prime factorization of 17442 in exponential form is:

17442 = 2¹ × 3³ × 17¹ × 19¹

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 17442

List of positive integer factors of 17442 that divides 17442 without a remainder.

1, 2, 3, 6, 9, 17, 18, 19, 27, 34, 38, 51, 54, 57, 102, 114, 153, 171, 306, 323, 342, 459, 513, 646, 918, 969, 1026, 1938, 2907, 5814, 8721

Step-4: Factors of 17460

List of positive integer factors of 17460 that divides 17442 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 17442 and 17460. The biggest common factor number is the GCF number.
So the greatest common factor 17442 and 17460 is 18.

Also check out the Least Common Multiple of 17442 and 17460