What is the Greatest Common Factor of 11556 and 11574?

Greatest common factor (GCF) of 11556 and 11574 is 18.

GCF(11556,11574) = 18

We will now calculate the prime factors of 11556 and 11574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11556 and 11574.

How to find the GCF of 11556 and 11574?

We will first find the prime factorization of 11556 and 11574. After we will calculate the factors of 11556 and 11574 and find the biggest common factor number .

Step-1: Prime Factorization of 11556

Prime factors of 11556 are 2, 3, 107. Prime factorization of 11556 in exponential form is:

11556 = 2² × 3³ × 107¹

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 11556

List of positive integer factors of 11556 that divides 11556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 107, 108, 214, 321, 428, 642, 963, 1284, 1926, 2889, 3852, 5778

Step-4: Factors of 11574

List of positive integer factors of 11574 that divides 11556 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 11556 and 11574. The biggest common factor number is the GCF number.
So the greatest common factor 11556 and 11574 is 18.

Also check out the Least Common Multiple of 11556 and 11574