What is the Greatest Common Factor of 17424 and 17439?

Greatest common factor (GCF) of 17424 and 17439 is 3.

GCF(17424,17439) = 3

We will now calculate the prime factors of 17424 and 17439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17424 and 17439.

How to find the GCF of 17424 and 17439?

We will first find the prime factorization of 17424 and 17439. After we will calculate the factors of 17424 and 17439 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 17439

Prime factors of 17439 are 3, 5813. Prime factorization of 17439 in exponential form is:

17439 = 3¹ × 5813¹

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 17439

List of positive integer factors of 17439 that divides 17424 without a remainder.

1, 3, 5813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17424 and 17439. The biggest common factor number is the GCF number.
So the greatest common factor 17424 and 17439 is 3.

Also check out the Least Common Multiple of 17424 and 17439