What is the Greatest Common Factor of 11609 and 11616?

Greatest common factor (GCF) of 11609 and 11616 is 1.

GCF(11609,11616) = 1

We will now calculate the prime factors of 11609 and 11616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11609 and 11616.

How to find the GCF of 11609 and 11616?

We will first find the prime factorization of 11609 and 11616. After we will calculate the factors of 11609 and 11616 and find the biggest common factor number .

Step-1: Prime Factorization of 11609

Prime factors of 11609 are 13, 19, 47. Prime factorization of 11609 in exponential form is:

11609 = 13¹ × 19¹ × 47¹

Step-2: Prime Factorization of 11616

Prime factors of 11616 are 2, 3, 11. Prime factorization of 11616 in exponential form is:

11616 = 2⁵ × 3¹ × 11²

Step-3: Factors of 11609

List of positive integer factors of 11609 that divides 11609 without a remainder.

1, 13, 19, 47, 247, 611, 893

Step-4: Factors of 11616

List of positive integer factors of 11616 that divides 11609 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 121, 132, 176, 242, 264, 352, 363, 484, 528, 726, 968, 1056, 1452, 1936, 2904, 3872, 5808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11609 and 11616. The biggest common factor number is the GCF number.
So the greatest common factor 11609 and 11616 is 1.

Also check out the Least Common Multiple of 11609 and 11616