What is the Greatest Common Factor of 17424 and 17440?

Greatest common factor (GCF) of 17424 and 17440 is 16.

GCF(17424,17440) = 16

We will now calculate the prime factors of 17424 and 17440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17424 and 17440.

How to find the GCF of 17424 and 17440?

We will first find the prime factorization of 17424 and 17440. After we will calculate the factors of 17424 and 17440 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 17440

Prime factors of 17440 are 2, 5, 109. Prime factorization of 17440 in exponential form is:

17440 = 2⁵ × 5¹ × 109¹

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 17440

List of positive integer factors of 17440 that divides 17424 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 109, 160, 218, 436, 545, 872, 1090, 1744, 2180, 3488, 4360, 8720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17424 and 17440. The biggest common factor number is the GCF number.
So the greatest common factor 17424 and 17440 is 16.

Also check out the Least Common Multiple of 17424 and 17440