What is the Greatest Common Factor of 17424 and 17436?

Greatest common factor (GCF) of 17424 and 17436 is 12.

GCF(17424,17436) = 12

We will now calculate the prime factors of 17424 and 17436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17424 and 17436.

How to find the GCF of 17424 and 17436?

We will first find the prime factorization of 17424 and 17436. After we will calculate the factors of 17424 and 17436 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 17436

Prime factors of 17436 are 2, 3, 1453. Prime factorization of 17436 in exponential form is:

17436 = 2² × 3¹ × 1453¹

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 17436

List of positive integer factors of 17436 that divides 17424 without a remainder.

1, 2, 3, 4, 6, 12, 1453, 2906, 4359, 5812, 8718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17424 and 17436. The biggest common factor number is the GCF number.
So the greatest common factor 17424 and 17436 is 12.

Also check out the Least Common Multiple of 17424 and 17436