What is the Greatest Common Factor of 16704 and 16724?

Greatest common factor (GCF) of 16704 and 16724 is 4.

GCF(16704,16724) = 4

We will now calculate the prime factors of 16704 and 16724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16704 and 16724.

How to find the GCF of 16704 and 16724?

We will first find the prime factorization of 16704 and 16724. After we will calculate the factors of 16704 and 16724 and find the biggest common factor number .

Step-1: Prime Factorization of 16704

Prime factors of 16704 are 2, 3, 29. Prime factorization of 16704 in exponential form is:

16704 = 2⁶ × 3² × 29¹

Step-2: Prime Factorization of 16724

Prime factors of 16724 are 2, 37, 113. Prime factorization of 16724 in exponential form is:

16724 = 2² × 37¹ × 113¹

Step-3: Factors of 16704

List of positive integer factors of 16704 that divides 16704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 64, 72, 87, 96, 116, 144, 174, 192, 232, 261, 288, 348, 464, 522, 576, 696, 928, 1044, 1392, 1856, 2088, 2784, 4176, 5568, 8352

Step-4: Factors of 16724

List of positive integer factors of 16724 that divides 16704 without a remainder.

1, 2, 4, 37, 74, 113, 148, 226, 452, 4181, 8362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16704 and 16724. The biggest common factor number is the GCF number.
So the greatest common factor 16704 and 16724 is 4.

Also check out the Least Common Multiple of 16704 and 16724