What is the Greatest Common Factor of 11583 and 11598?

Greatest common factor (GCF) of 11583 and 11598 is 3.

GCF(11583,11598) = 3

We will now calculate the prime factors of 11583 and 11598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11583 and 11598.

How to find the GCF of 11583 and 11598?

We will first find the prime factorization of 11583 and 11598. After we will calculate the factors of 11583 and 11598 and find the biggest common factor number .

Step-1: Prime Factorization of 11583

Prime factors of 11583 are 3, 11, 13. Prime factorization of 11583 in exponential form is:

11583 = 3⁴ × 11¹ × 13¹

Step-2: Prime Factorization of 11598

Prime factors of 11598 are 2, 3, 1933. Prime factorization of 11598 in exponential form is:

11598 = 2¹ × 3¹ × 1933¹

Step-3: Factors of 11583

List of positive integer factors of 11583 that divides 11583 without a remainder.

1, 3, 9, 11, 13, 27, 33, 39, 81, 99, 117, 143, 297, 351, 429, 891, 1053, 1287, 3861

Step-4: Factors of 11598

List of positive integer factors of 11598 that divides 11583 without a remainder.

1, 2, 3, 6, 1933, 3866, 5799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11583 and 11598. The biggest common factor number is the GCF number.
So the greatest common factor 11583 and 11598 is 3.

Also check out the Least Common Multiple of 11583 and 11598