What is the Greatest Common Factor of 17424 and 17438?

Greatest common factor (GCF) of 17424 and 17438 is 2.

GCF(17424,17438) = 2

We will now calculate the prime factors of 17424 and 17438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17424 and 17438.

How to find the GCF of 17424 and 17438?

We will first find the prime factorization of 17424 and 17438. After we will calculate the factors of 17424 and 17438 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 17438

Prime factors of 17438 are 2, 8719. Prime factorization of 17438 in exponential form is:

17438 = 2¹ × 8719¹

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 17438

List of positive integer factors of 17438 that divides 17424 without a remainder.

1, 2, 8719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17424 and 17438. The biggest common factor number is the GCF number.
So the greatest common factor 17424 and 17438 is 2.

Also check out the Least Common Multiple of 17424 and 17438