What is the Greatest Common Factor of 11590 and 11598?

Greatest common factor (GCF) of 11590 and 11598 is 2.

GCF(11590,11598) = 2

We will now calculate the prime factors of 11590 and 11598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11590 and 11598.

How to find the GCF of 11590 and 11598?

We will first find the prime factorization of 11590 and 11598. After we will calculate the factors of 11590 and 11598 and find the biggest common factor number .

Step-1: Prime Factorization of 11590

Prime factors of 11590 are 2, 5, 19, 61. Prime factorization of 11590 in exponential form is:

11590 = 2¹ × 5¹ × 19¹ × 61¹

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 11590

List of positive integer factors of 11590 that divides 11590 without a remainder.

1, 2, 5, 10, 19, 38, 61, 95, 122, 190, 305, 610, 1159, 2318, 5795

Step-4: Factors of 11598

List of positive integer factors of 11598 that divides 11590 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11590 and 11598. The biggest common factor number is the GCF number.
So the greatest common factor 11590 and 11598 is 2.

Also check out the Least Common Multiple of 11590 and 11598