What is the Greatest Common Factor of 17604 and 17611?

Greatest common factor (GCF) of 17604 and 17611 is 1.

GCF(17604,17611) = 1

We will now calculate the prime factors of 17604 and 17611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17604 and 17611.

How to find the GCF of 17604 and 17611?

We will first find the prime factorization of 17604 and 17611. After we will calculate the factors of 17604 and 17611 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 17611

Prime factors of 17611 are 11, 1601. Prime factorization of 17611 in exponential form is:

17611 = 11¹ × 1601¹

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 17611

List of positive integer factors of 17611 that divides 17604 without a remainder.

1, 11, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17604 and 17611. The biggest common factor number is the GCF number.
So the greatest common factor 17604 and 17611 is 1.

Also check out the Least Common Multiple of 17604 and 17611