What is the Greatest Common Factor of 16604 and 16611?

Greatest common factor (GCF) of 16604 and 16611 is 7.

GCF(16604,16611) = 7

We will now calculate the prime factors of 16604 and 16611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16604 and 16611.

How to find the GCF of 16604 and 16611?

We will first find the prime factorization of 16604 and 16611. After we will calculate the factors of 16604 and 16611 and find the biggest common factor number .

Step-1: Prime Factorization of 16604

Prime factors of 16604 are 2, 7, 593. Prime factorization of 16604 in exponential form is:

16604 = 2² × 7¹ × 593¹

Step-2: Prime Factorization of 16611

Prime factors of 16611 are 3, 7, 113. Prime factorization of 16611 in exponential form is:

16611 = 3¹ × 7² × 113¹

Step-3: Factors of 16604

List of positive integer factors of 16604 that divides 16604 without a remainder.

1, 2, 4, 7, 14, 28, 593, 1186, 2372, 4151, 8302

Step-4: Factors of 16611

List of positive integer factors of 16611 that divides 16604 without a remainder.

1, 3, 7, 21, 49, 113, 147, 339, 791, 2373, 5537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16604 and 16611. The biggest common factor number is the GCF number.
So the greatest common factor 16604 and 16611 is 7.

Also check out the Least Common Multiple of 16604 and 16611