What is the Greatest Common Factor of 17604 and 17616?

Greatest common factor (GCF) of 17604 and 17616 is 12.

GCF(17604,17616) = 12

We will now calculate the prime factors of 17604 and 17616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17604 and 17616.

How to find the GCF of 17604 and 17616?

We will first find the prime factorization of 17604 and 17616. After we will calculate the factors of 17604 and 17616 and find the biggest common factor number .

Step-1: Prime Factorization of 17604

Prime factors of 17604 are 2, 3, 163. Prime factorization of 17604 in exponential form is:

17604 = 2² × 3³ × 163¹

Step-2: Prime Factorization of 17616

Prime factors of 17616 are 2, 3, 367. Prime factorization of 17616 in exponential form is:

17616 = 2⁴ × 3¹ × 367¹

Step-3: Factors of 17604

List of positive integer factors of 17604 that divides 17604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 163, 326, 489, 652, 978, 1467, 1956, 2934, 4401, 5868, 8802

Step-4: Factors of 17616

List of positive integer factors of 17616 that divides 17604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17604 and 17616. The biggest common factor number is the GCF number.
So the greatest common factor 17604 and 17616 is 12.

Also check out the Least Common Multiple of 17604 and 17616