What is the Greatest Common Factor of 11574 and 11582?

Greatest common factor (GCF) of 11574 and 11582 is 2.

GCF(11574,11582) = 2

We will now calculate the prime factors of 11574 and 11582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11574 and 11582.

How to find the GCF of 11574 and 11582?

We will first find the prime factorization of 11574 and 11582. After we will calculate the factors of 11574 and 11582 and find the biggest common factor number .

Step-1: Prime Factorization of 11574

Prime factors of 11574 are 2, 3, 643. Prime factorization of 11574 in exponential form is:

11574 = 2¹ × 3² × 643¹

Step-2: Prime Factorization of 11582

Prime factors of 11582 are 2, 5791. Prime factorization of 11582 in exponential form is:

11582 = 2¹ × 5791¹

Step-3: Factors of 11574

List of positive integer factors of 11574 that divides 11574 without a remainder.

1, 2, 3, 6, 9, 18, 643, 1286, 1929, 3858, 5787

Step-4: Factors of 11582

List of positive integer factors of 11582 that divides 11574 without a remainder.

1, 2, 5791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11574 and 11582. The biggest common factor number is the GCF number.
So the greatest common factor 11574 and 11582 is 2.

Also check out the Least Common Multiple of 11574 and 11582