What is the Greatest Common Factor of 17424 and 17441?

Greatest common factor (GCF) of 17424 and 17441 is 1.

GCF(17424,17441) = 1

We will now calculate the prime factors of 17424 and 17441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17424 and 17441.

How to find the GCF of 17424 and 17441?

We will first find the prime factorization of 17424 and 17441. After we will calculate the factors of 17424 and 17441 and find the biggest common factor number .

Step-1: Prime Factorization of 17424

Prime factors of 17424 are 2, 3, 11. Prime factorization of 17424 in exponential form is:

17424 = 2⁴ × 3² × 11²

Step-2: Prime Factorization of 17441

Prime factors of 17441 are 107, 163. Prime factorization of 17441 in exponential form is:

17441 = 107¹ × 163¹

Step-3: Factors of 17424

List of positive integer factors of 17424 that divides 17424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 121, 132, 144, 176, 198, 242, 264, 363, 396, 484, 528, 726, 792, 968, 1089, 1452, 1584, 1936, 2178, 2904, 4356, 5808, 8712

Step-4: Factors of 17441

List of positive integer factors of 17441 that divides 17424 without a remainder.

1, 107, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17424 and 17441. The biggest common factor number is the GCF number.
So the greatest common factor 17424 and 17441 is 1.

Also check out the Least Common Multiple of 17424 and 17441