What is the Greatest Common Factor of 17442 and 17459?

Greatest common factor (GCF) of 17442 and 17459 is 17.

GCF(17442,17459) = 17

We will now calculate the prime factors of 17442 and 17459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17442 and 17459.

How to find the GCF of 17442 and 17459?

We will first find the prime factorization of 17442 and 17459. After we will calculate the factors of 17442 and 17459 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 17459

Prime factors of 17459 are 13, 17, 79. Prime factorization of 17459 in exponential form is:

17459 = 13¹ × 17¹ × 79¹

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 17459

List of positive integer factors of 17459 that divides 17442 without a remainder.

1, 13, 17, 79, 221, 1027, 1343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17442 and 17459. The biggest common factor number is the GCF number.
So the greatest common factor 17442 and 17459 is 17.

Also check out the Least Common Multiple of 17442 and 17459