What is the Greatest Common Factor of 11558 and 11574?

Greatest common factor (GCF) of 11558 and 11574 is 2.

GCF(11558,11574) = 2

We will now calculate the prime factors of 11558 and 11574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11558 and 11574.

How to find the GCF of 11558 and 11574?

We will first find the prime factorization of 11558 and 11574. After we will calculate the factors of 11558 and 11574 and find the biggest common factor number .

Step-1: Prime Factorization of 11558

Prime factors of 11558 are 2, 5779. Prime factorization of 11558 in exponential form is:

11558 = 2¹ × 5779¹

Step-2: 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-3: Factors of 11558

List of positive integer factors of 11558 that divides 11558 without a remainder.

1, 2, 5779

Step-4: Factors of 11574

List of positive integer factors of 11574 that divides 11558 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11558 and 11574. The biggest common factor number is the GCF number.
So the greatest common factor 11558 and 11574 is 2.

Also check out the Least Common Multiple of 11558 and 11574