What is the Greatest Common Factor of 17442 and 17461?

Greatest common factor (GCF) of 17442 and 17461 is 19.

GCF(17442,17461) = 19

We will now calculate the prime factors of 17442 and 17461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17442 and 17461.

How to find the GCF of 17442 and 17461?

We will first find the prime factorization of 17442 and 17461. After we will calculate the factors of 17442 and 17461 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 17461

Prime factors of 17461 are 19, 919. Prime factorization of 17461 in exponential form is:

17461 = 19¹ × 919¹

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 17461

List of positive integer factors of 17461 that divides 17442 without a remainder.

1, 19, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17442 and 17461. The biggest common factor number is the GCF number.
So the greatest common factor 17442 and 17461 is 19.

Also check out the Least Common Multiple of 17442 and 17461