What is the Greatest Common Factor of 17424 and 17430?

Greatest common factor (GCF) of 17424 and 17430 is 6.

GCF(17424,17430) = 6

We will now calculate the prime factors of 17424 and 17430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17424 and 17430.

How to find the GCF of 17424 and 17430?

We will first find the prime factorization of 17424 and 17430. After we will calculate the factors of 17424 and 17430 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 17430

Prime factors of 17430 are 2, 3, 5, 7, 83. Prime factorization of 17430 in exponential form is:

17430 = 2¹ × 3¹ × 5¹ × 7¹ × 83¹

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 17430

List of positive integer factors of 17430 that divides 17424 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 83, 105, 166, 210, 249, 415, 498, 581, 830, 1162, 1245, 1743, 2490, 2905, 3486, 5810, 8715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17424 and 17430. The biggest common factor number is the GCF number.
So the greatest common factor 17424 and 17430 is 6.

Also check out the Least Common Multiple of 17424 and 17430